Jay, I think that they may be looking for the FF, pro style camera and the long lens, such as 100-400, or huge prime 200+mm. I really don't think they'll give your 16-300 a serious look. It's compact enough, when fully retracted, to not merit their attention. So many tourists have a crop sensor dslr with a similar zoom that your current setup shouldn't be a problem.
I use a Canon 70d and the very same Tamron 16-300 when traveling light. It is, essentially, the same type of camera/lens combo as yours.
However, you don't want to chance it. Do you have any other lens? If not, the may be a great time to get a faster zoom, or prime, that can be a fall back in case they take issue.

I know this has been discussed a lot but I'd appreciate any up-to-date opinions. I'm going to Peru and Ecuador in April. One of the highlights will be Machu Picchu. (I recently got good advice from a number of you about photography on the whole trip.)

Here's the rub--I just found out that at Machu Picchu they have a restriction on the type of camera (lens) you can bring--nothing over 200mm. I googled it and some seem to get away with a longer lens and others had to check their lens at the office. I really don't want to chance that. I'm planning on taking my Nikon D7100 with a Tamron 16-300 lens. Nothing more as we'll be very active on this trip and weight will be a factor. I want the reach of the 300 as I like to take pictures of distant things although I do like landscapes for perspective and often the OOOH factor.

So, I'm starting to look at zooms that end w/200mm. I realize money is a big factor in how much image quality you get but I'm not sure I want to put that into a zoom lens that is slightly less than what I have now as I don't expect to find the 200 mm limit in other places. Any thoughts on whether there is a good spot in 200mm zooms between bottom of the barrel and super? Also, any thoughts on maybe another lens I haven't considered for these few days shooting? Thanks as always.

I know this has been discussed a lot but I'd appreciate any up-to-date opinions. I'm going to Peru and Ecuador in April. One of the highlights will be Machu Picchu. (I recently got good advice from a number of you about photography on the whole trip.)

Here's the rub--I just found out that at Machu Picchu they have a restriction on the type of camera (lens) you can bring--nothing over 200mm. I googled it and some seem to get away with a longer lens and others had to check their lens at the office. I really don't want to chance that. I'm planning on taking my Nikon D7100 with a Tamron 16-300 lens. Nothing more as we'll be very active on this trip and weight will be a factor. I want the reach of the 300 as I like to take pictures of distant things although I do like landscapes for perspective and often the OOOH factor.

So, I'm starting to look at zooms that end w/200mm. I realize money is a big factor in how much image quality you get but I'm not sure I want to put that into a zoom lens that is slightly less than what I have now as I don't expect to find the 200 mm limit in other places. Any thoughts on whether there is a good spot in 200mm zooms between bottom of the barrel and super? Also, any thoughts on maybe another lens I haven't considered for these few days shooting? Thanks as always.