When I was a kid my mom had a late 90's (~'96 or '97) and then an early 2000's 3/4 ton Suburbans, the first with a 454 and barn doors and the second with an 8.1L. She tows a 10,000 lb horse trailer up and down mountain grades in Lake Tahoe and those trucks were awesome. Didn't feel the trailer, comfortable for long road trips, and if you fold the seats down you can stack a pile of 4'x8' sheets of plywood in the back. 10mpg everywhere though (city, highway, trailer, no trailer, 10mpg all the time) so I wouldn't use it for a daily. Since you'll be running the third row seats all the time for family camping the cargo room behind the third row for dogs and gear is so key. You can fit a huge roof rack on the top too if you need more gear.A 3/4 ton Suburban would be fun. Probably one of the only vehicles I'd consider that's not a Toyota.
I wanted a Suburban but we only have 2 kids in carseats and my wife loves 80's and hates Suburbans. I love 80's too, so we compromised and bought and 80.