As others have stated, should fit. Weight (overall) is going to be sketchy. The lighter enclosed car trailers are typically around 3000 pounds. Not hard to have a 4000 pound Bronco. Any extra gear adds up fast. Some trailer manufactures will rate a trailer at 7700 pounds, that is a pair of 3500 rated axles and get a perfect 10% tongue weight. Just call them what they really are, a 7000 rated trailer.
From having setup hundreds of trailers (with the luxury of real scales), the tongue weight with a Bronco should be good. You won't have much wiggle room with that short of a trailer. I would really lean toward holding off for that 20' you said you wanted, with 10,000 GVW.
From experience, trailers are not happy when running at 100% capacity. They will do it. But you are at the edge of what they can do. 10k trailer gives a nice buffer for bearings, brakes, tires, overall structure. The trailers at work that are at or near 100% need a lot more work to keep running. We have one downed right now from blown out crossmembers. I don't recall ever blowing out a crossmember in the 10k trailers. But half of the 7k trailers have been restructured. Not just a brand thing either, we have more brands and vintages than I can think of.