First of all, Av is "aperture priority auto exposure mode". It makes little to no sense to ALSO use Auto ISO with that. It really only makes sense to use Auto ISO with M... which makes Manual yet another auto exposure mode (think of it as an "aperture AND shutter priority AE" mode). Using Auto ISO and Av together is sort of like a
double auto exposure mode.
Next, shoot RAW. And avoid under-exposure. In fact, you might want to experiment with
slight over-exposure (1/3 stop... 2/3 stop at most). RAW gives you the most latitude to make post-processing adjustments. And when it comes to image noise, it's always better to not have to increase exposure in post, because that amplifies any noise that's present in the image. Some cameras I've used in the past, I found with particularly high ISO images I got best results with slight over-exposure, pulling exposure back down in post-processing... I don't use a 5DIV yet, so can't say whether or not that would help with that model. You'll have to test it for yourself.
Shooting RAW there is no noise reduction being applied in-camera. That's a good thing! Instead apply it yourself more carefully in post-processing. How you do that depends upon the software you use for post-processing, just be sure to apply NR to the image early in the post-process workflow, while the image is still full size and 16 bit... and especially before doing any sharpening (which should be one of your final steps anyway, after re-sizing the image for it's final use).
I use Lightroom and Photoshop for post-processing. With all images, I let Lightroom apply it's default level of NR. With images that will be used small (such as online display), I might apply some additional NR in LR to higher ISO images. But if I plan to make a moderate to larger size print from an image or have some other higher use for it, I always pass it off to Photoshop for more careful and precise work. There I rarely use PS NR.... Mostly I use either Imagenomic Noiseware or Nik DFine, both set up as PS plug-ins (both also can be used as stand-alone, separate from other post-processing s'ware). Noiseware has a lot more options and I use it much more often.
Don't be overly critical of your images. Think in terms of the end use of them... what size and resolution they'll ultimately be... NOT how they look "at 100%" on your computer monitor. Think about it. The 30MP 5DIV's resolution is 6720 x 4480 pixels. On most modern computer monitors with a native resolution around 100 pixels per inch, when one of your images is displayed "at 100%", it's like viewing an almost 6 foot wide by almost 4 foot tall print from roughly 18 or 20" away! OF COURSE it looks like crap and every tiny flaw obvious, viewing it so ridiculously enlarged! Waaayyyy bigger than you'll ever use the image!
When you're evaluating your images for noise, focus accuracy, sharpness, etc., back off to a more reasonable size... something closer to how large you'll actually be using the image, whatever that might be. It's fine to zoom in to 100%, 200%, 300% or even higher if need be, to do precise retouching... but those levels of magnification are just silly for proper evaluation of your images. 25% or 33% make more sense... still might be oversize for a lot of uses (online display, for example).
Also, you might want to learn to use layers and masks in post-processing. This allows you to apply selective noise reduction, as well as selective sharpening and selective blurring effects. Often image noise isn't noticeable in sharp, detailed areas of an image... is more apparent in the out of focus, blurred areas and/or shadows. When you're able to do selective corrections to an image, much of this can be solved pretty easily. Not all software allows you to work with layers and masks, though. Lightroom doesn't, for example. But both Photoshop and Elements do.
I also agree with some previous responses... using a super fast shutter speed for your images is forcing you to use way higher ISO than necessary. All three of your sample images were done using 1/5000 shutter speed and with ISOs ranging from 3200 to 10000. You should be able to EASILY hand hold any of those shots at 1/500 shutter speed! 1/1000 at most. That's more than 2 or 3 stops slower shutter speeds, which would have allowed you to use ISO 800 to 3200 at highest for those images.
You also might want to add a Canon 1.4X III Extender to your kit and use it with the 100-400 for small subjects like these. That would allow you to do less cropping to your images (which is another thing that will magnify any noise or other flaws in your images). I am assuming here that you are using the "II" version of that lens. It works well with high quality teleconverters (the original or "I" version of it doesn't work as well with them).
When using a teleconverter with the lens, you'll lose a stop of light and the longer effective focal length will require you to use a bit faster shutter speeds. But "filling your viewfinder" better and cropping less will help offset those factors and it will be worth it, I'm sure.
Practice and experiment with these and other suggestions well before your trip, so that you're prepared to take once-in-a-lifetime shots when the opportunities arise.
Below is a low light, high ISO test shot I did with one of my Canon 7D Mark II (and the 100-400 II lens). It was shot at ISO 16000.
I shot this image RAW and was careful to avoid under-exposure. The only light sources were a 60 watt bulb and daylight from a small window, both roughly 8 to 10 feet from the subject. The lens was "wide open" at f/5 and I hand held the shot at 1/125 shutter speed (compare to the 1/5000 you used!)
This was intended to be a "worst case" high ISO test, so I DID NOT do my normal post-processing noise reduction to the image. I only let Lightroom apply its default level and never did anything to the image in Photoshop, which I normally would to finish it. I also slightly boosted the dynamic range of the image by increasing contrast and adjusting the black point (high ISO images also have less dynamic range and lower resolution.... sometime do a series of identical shots only adjusting the ISO and notice the difference in file size). Both of these adjustments should have increased the appearance of noise, if anything.
Yes, there IS noise in this image. The greatly enlarged detail below shows it (far bigger than I'd ever use the image). If you look at ANY image from ANY camera large enough, you'll find some flaws! In this case the noise "hides" pretty well in the sharper details of the subject's fur and, overall, really is pretty well handled, IMO. I'd have no problem making a quality 8x12" print from this image, if I wished.
I wish everyone shooting with modern digital could time travel back to the days when we were shooting film... highest ISO I used for color slides was 200... much of what I used was ISO 50 or 100! If I needed faster, I'd use color negative film that was ISO 400. Or I'd switch to black and white ISO 400 film that could be "pushed" to 800 pretty well, 1600 in a pinch, though it would definitely be grainy. Anything higher ISO than that saw serious loss of image quality and strong graininess. We didn't have image stabilization to help steady our shots in those days, either!