I'd go F450 CCLB, 4x4. Add a Detroit locker to the front axle. And wait to see if anything is ever available for the rear axle. Although, one locker might be enough.
Add any slide in camper with a slide out. Done. That's plenty for just about everywhere in the US I've been to. I think you'll be impressed by where such a setup can go. Obviously such a large rig isn't going to be a Jeep. Building a large rig, to have Jeep-like capability, that'll never be needed or used, is a waste of money. An F450 does pretty well, anywhere it can fit.
I'd love a giant earth roamer. But there is absolutely nowhere to drive one to it's capabilities, anywhere I've ever been. Waste of money to build an expensive off road truck, that doesn't FIT off road.
You could also go F550 instead. Get a flatbed camper or a permanently mounted camper. And then you have more room to do a "brush truck" setup with wheels and tires.
Maybe get a little trailer for a motorcycle so I can still play with the little Expo guys.
Or go waay under budget. A simple F350 DRW. Front Detroit locker. Little MT tires. And a Camplite slide in camper. Smaller and lighter, goes along ways: