If your SUV can truly haul 6900, to 7900lbs it must be one helluva SUV (Tahoe, Suburban sized)...
figure #7000, if your empty boat is #6000, probably MORE... A trailer rated to well over #6000 would work if you were going to tow it yourself. Surge brakes for sure, or better e-brakes.
I personally wouldn't want to tow #7000 or more with an SUV. I'd rather have a F250/2500 sized truck (longbed, extended/crew cab preferred for wheelbase). It's doable yourself, but a lot of rental trucks are OK to tow that much, but some won't allow you to, it's a question for the rental place.
The big deals towing are de-masting (as opposed to dis-masting)... and securing the boat well (straps, lashings, etc). A lot of people make the mistake of leaving outboards on the boats (that's a lot of stress on the transom for a boat if you have one).
Again I am just addressing the tow yourself option.
The 4 foot draft, isn't a real problem, but the height above water is added to that, then the height of the trailer. My lowly 25 foot low freeboard Capri 25, is 11'2" high on the trailer, with the mast basically ON the deck. So if you have a normal freeboard, cruiser, with near standing room below, you are probably well up to 13'+ which is nearly "overheight." on a trailer. Just saying, you best factor that into your equation. YES YOU can tow oversized, but do you have the experience? Permits are usually PER state, and restrict you as to when you can tow, run between $30 and $100 per state.
I tow #16,000 with my pickup on a regular basis... I pushed my standard class license with the rig, and have to upgrade to get a RV class license now.
My boat though is only #5500 on the trailer, but is 9'2" wide.
I am not sure how you get that heavy a boat, that's only 8' wide, but OK.
and my rig, I've since upgraded the 2500 pickup to a 3500 dually (for the horse trailer)