Janalee,
You listed several things that put you in a rough spot.
Ideally less than $10K
Has good room
Tow your camper to Fla (long distance)
Gets a level of decent gas mileage
Maybe your last time towing.
I'll add one, reliable towing vehicle.
I have been SUV towing from 1989 to 2007. Chevy's mainly. Jimmy, Tahoe, Suburban. All very good tow vehicles when sized correctly. The Tahoe and the Suburban will fit your pulling needs but there are other factors to think though.
When they get miles on them, when was the last brake job, shocks, transmission fluid change, tires.
For a full size SUV, the year 2000 to 2006 Tahoe/Suburban may top out at 15 to pushing 18mpg highway, non towing. the 5.3 V8 with the 3.73 rear axle was common. Towing can be 8 to 10, maybe a little more. For the vehicle it is, with the technology of the time, it is decent mileage just not great compared to newer fuel efficient small cars or even new SUV's.
Then what will you get for it when trading it in a year?
This is a tough situation. If you where going to keep towing for a few years, this may be easier to justify the costs and getting the truck setup to tow your camper. While not a big cost, a $120 WD hitch shank may be needed to adapt up to a higher SUV and someone to do it.
There are a lot of 1500 Suburban's out there from 2000 to 2006 that will fit your towing needs, but have to sort through the condition they are in. You can get a gem in great shape or not...
I did a hit within 300 miles from my your area in PA for a 2000 to 2006 2 wheel drive Suburban. There are 413 of them
http://www.autotrader.com/cars-for-s...ypes=used&mmt=[CHEV[CHEVSUB[]][]]&vehicleStyleCodes=SUVCROSS&modelCode1=CHEVSUB&Log =0&makeCode1=CHEV&startYear=2000&numRecords=25&sea rchRadius=300&bodyStyleCodes=SUV&showcaseOwnerId=6 5314199&captureSearch=true&Log=0
You get close to the $10K area when you get to 150,000 miles and up. Private sale my be less than a dealer. But for sure have a trusted mechanic you know check it out for brakes, exhaust system, tires, transmission, radiator, rear axle shocks.
If you get a Suburban. make sure it has the tow package with the larger transmission cooler and have the mechanic inspect the receiver on the back for heavy rust which can compromise them.
Options for you in your situation to maybe think on.
Hire a hauler to take the camper to Fla. if the cost is not too bad all things considering. I really do not know the cost but I know they do it. If they have a return tow from another account it may help lower your cost.
Here are some hits on this. Try your area may be better cost.
RV Transport Company. Transport and Delivery Service in USA.
Hoosier RV Transport
Synergy RV Transport - Welcome
I know nothing about them other then a place to start. Many are Indiana based but talk about entire US delivery. My step dad did have a car transported to Fort Lauderdale from upper NYS to Fla, I think it was about $700 at the time if I recall right. This was a few years ago.
Good luck and hope this helps
John