I've had plenty of 4wd trucks and Jeeps. Even my Lincoln MKS is AWD. But I don't let my affinity for 4wd for my needs blind me to the extra maintenance costs, potential repair costs, and certainly higher initial costs. 200 pounds may not sound like a lot, but I seriously doubt anybody on this forum carries one single item weighing 200 pounds into their camper (besides themselves, that is!), and yet, every single camper out there weighs significantly more when ready to camp than it did at delivery. To say that worrying about 200 pounds is unnecessary is specious at best. I'd say that the majority of people that drive 4wd vehicles probably never even use 4wd. Even more don't know how to use it, and could just as likely end up in an even worse situation. Look how many Exploders end up in the ditch every time it snows. I have seen people take 2wd vehicles (including an econoline van) in and out of places I would never try without 4wd and air down tires. I'm not sure if they are really good drivers or just really lucky, but it happens enough to be meaningful. Of course used 4wd prices are higher than 2wd, so is the initial investment.
I also have a boat and motorcycles and go hunting well off the beaten path. These are areas where a 4WD vehicle really comes in handy. However, the OP didn't say he wants to launch his camper into the lake, or take it out to the hunting camp. He said he wants to stay in the southeast and never drive in snow. I translate that into pretty flat ground with good roads with good traction. It's possible he might get stuck on wet grass or a muddy access road. But then, I always carry a tow strap to help out folks that get themselves stuck.
Whenever I have to ride in aircraft, I much prefer the ones with four engines. That way if one quits we still have a chance of landing safely. However, there are times when I have to admit that taking a Piper Cub makes more sense than a 747.
Given his requirements, I still believe the OP would be best served by a 2wd truck.
2014 Coachmen Catalina 253RKS
2016 Keystone Summerland Mini 1750RD
2012 F250 Lariat 6.2L Crew Cab FX4
Reese dual cam SC/WDH