My TT is 16' long and has dry weight around 2200 lb. Basic dinette that I leave as a bed, a gaucho to sit on, and a bathroom with tub/shower. A bit skimpy on storage and fresh water capacity, but it works for me. Cost me less than $10K new.
Better options include Casita, Scamp, Lil Snoozy, and similar molded fiberglass trailers. A TV with 3500 lb. rating should be able to handle a 16 footer and some 17s. The rounded, aero shape of these trailers makes for easier towing (less wind resistance) and better fuel economy. I get 12 mpg with mine, for example, but when I had the more egg shaped Burro I got 14 (same TV).
The thing to watch out for is exceeding tongue weight. My TT's tongue weight is about 350-360 lbs, which means if you had my TT you might have to run with no fresh water (tank is under the front dinette).