Much higher than regular dslr, and even if shutter does go, you can shoot with electronic shutter on most models. Some drawbacks regarding it, so it's not the ideal solution, but most pnshoot cams have only that. I think Tough as well.>>3494012>"advising" manual lens to rockclimber
I never even take my cam out when climbing, can't imagine how I'd use both of my arms operating it in the cliff. That's where af comes handy.
Anyway, you'll need a bit of zoom, so gr is out, likewise fujis x100. Most Canon/Sony/Panasonic pnshoot cams will be fine. rx100, lx100, lx10, lx15, canon g9x. There's not much between them. You could possibly get some kind of mirrorless with kitzoom for around 400-500 probably. Maybe even less if you're buying a little older bodies. em-10 ii is very robust in that area. Panasonic/Olympus/Fuji/Sony, there's not much between them in that range. I don't think there are any weather resistant models to be had for as little, so you'd need to be more careful with them than with some pnshoots. They're better sealed even if they're not stated as such. After all, regular pnshoots has seen more 8k peaks than all weather resistant dslr and mirrorless combined.