No recommendations, but I'll share my recent experience ...
I bought a used Leica D-Lux (Typ 109), and love it - 12 MP, compact and light (even with the grip I added), decent zoom range (24-75 optical, to 90 digitally), well-designed electronic viewfinder, easy-to-use menus, capable of shooting/focusing on Automatic or Manually in rich colors as well as monochrome ... But even used/with tax it was $150 over your budget.
My second choice would be the Nikon Coolpix W300: 16 MP, viewfinder, waterproof to about 100 feet and sealed for dust (and thus nicely weatherproof), moderately shock resistant. Nice and compact, and about $300. As was suggested elsewhere, you could spend the remaining $350 on something special along the road.
To me, vacation says "easy and light," and both these cameras do that well enough - and you don't have to carry extra glass and tripods and doodads.

I have two driving vacations planned with my family of 6 adults for this year and a cruise with them next year. My wife and I are trying our best to get all of us together a few more times while we can. Our children will probably consider it torture.

My four children are currently ages 16 to 22. I am a prolific, family photo taker and for years I've used my DX DSLRs for that, D100, D90, D7000. I've never been satisfied with a cell phone and I really have to have a viewfinder to be happy. For these trips, space is going to be limited and that's a good excuse to get something a bit more modern and much smaller. Since I don't spend a lot on camera gear and have always bought used, my wife has given me her blessing if I keep the cost under control. I'm not one to charge anything or break the piggy bank, so I have set a firm budget of $650 total. That includes extra batteries, etc.

I have narrowed it down to the Panasonic GX85 kit with two lenses and the Olympus OM-10 Mk II kit which is currently offered with an additional telephoto lens. The cameras have nearly identical features although the Panasonic is newer. Both have good reviews. Both have in-body, 5-axis stabilization which might be a plus if I put any of my Nikon glass on them which I most certainly will try.

You may think I'm a bit crazy, but I shoot raw and I really don't want to deal with the size files that would come off of a 20 or 24 megapixel sensor. These match the resolution of my D7000 which I think is about perfect.

The Panasonic wins on video probably because it's newer. I don't take much video, but that might be because my D7000 is not an inspiring video camera. It also wins on warranty since the kit gives you 2 extra years. This might come in handy considering the complexity of the short lens which telescopes.

The Olympus has an edge in reviews, has a rangier short lens in the kit, and may win on ergonomics with me since it has a center-mounted viewfinder.

Here are the two links to B&H who will be collecting my money. I know many of you will be tempted to give me alternatives. Go ahead. That said, I'm really looking for any shortcomings any of you may have found through experience in either of these cameras.

Thanks in advance.

https://www.bhphotovideo.com/c/product/1444716-REG/panasonic_lumix_dmc_gx85_mirrorless_micro.html

https://www.bhphotovideo.com/c/product/1238281-REG/olympus_v207051bu000_om_d_e_m10_mark_ii.html

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I use both brands but neither of those exact versions.

Amongst my several models are special features that
I value: 6K burst, "one touch" exposure, perspective
correction, focus stacking, HDR, etc, etc. But acoarst
not all features are on every camera.

So, given two outfits of essentially equal basic ability,
maybe it's a specialty feature that will win your wallet
to one kit or the other ?

=============================

In my flock, Olympus has the outstanding specialty
features, but Lumix has the outstanding operational
features. So the Lumix features aid me continuously
altho not adding special imaging abilities, while the
Olympus features are not of continuous use, but do
add special imaging abilities. IOW, Lumix features
are ergonomic conveniences, Olympus features are
actually enabling image making in special situations
[focus stacking, perspective adjusting] ... BUT ! but
becuz you prefer raw files, a few of the Olympus's
imaging features will be denied you :-(

.