I lived in the US for a year and was frequently in the local Bass Pro. A couple of observations:
1. Shooting/hunting in the US is an Everyman sport and generally ‘stuff’ is cheaper.
2. A lot of their stuff is cheap Chinese cr@p that really isn’t up to much.
3. US optics are in the main not up to European standards - with the exception of Vortex.
4. Clothing is almost all Hunter camo.
5. Slings/cleaning kits and other ancillary items are great value compared with the UK.
6. Try and stick to known brands like Vortex or Quake Claw etc - see point 2.
Enjoy your trip and don’t be tempted to bring back anything ‘controlled’ the US authorities will have you in a supermax whilst it all gets sorted out quicker than you can blink.
Above is good advice. Ultimately, especially with respect to point no 5, all you'll be able to really get yourself is a few bits and pieces of paraphernalia. It might not strike you as particularly cheap either, exchange rates being what they are.
My last trip to the states was pre-pandemic, but I did spend a couple of hours wondering around the Cabela's in Phoenix. It is absolutely huge. Bought myself a few bits n pieces, but nothing spectacular. A clay cartidge belt-style holder, chineseium but at $6 + tax has been perfectly serviceable. Actually the $7 plastic ammo tin with a gasket has been good too.
What I wanted buy was one of the 5-odd Waffenfabrik Bern rifles they had, similar to the type my Swiss Great-Grandfather had during his WW1-era service....Sadly not an option
Just get whatever you need, no point buying stuff for the sake of it.
It's not a bargain if you dont need it.
Oh go away, captain sensible
Actually the one thing I do end up buying in the states is...tools. In most decent size conurbations in the states is a branch of the chain 'Harbor Freight' , sort of like Machine Mart is here, only value for money, and with actual choice. I get myself a few bits and pieces that I would otherwise not be able to afford or justify back in the UK, mechanic's tools mainly. Their thin welding gloves are good value, for instance. Again, it's not high quality stuff, but serviceable for DIY use. Just watch the weight of your check-in bag!