When I was looking for lightweight trailer, I went to local dealers websites and searched for all that was in target weight I wanted. Then looked at floor plans and decided which would work for me. Then having a smaller list, I went to each manufacturer website and lookup up details on the specs. The big thing I found was that even with some lighter weight trailers, the tongue weight was outragous and surpassed my tow vehicle.
Found one TT I really liked, ~3500 lb but had 700+ tongue weight.
Also, look into weight distribution hitch with anti-sway.