Don,
We need more info on your truck. Is your truck a SRW, 3500? The rear axle weight rating seems awfully low to me. This may be due to a low tire rating. With two 3750 pound, E rated tires you should have a 7500 pound load bearing capacity not 6K pounds. There are a lot of people towing jeeps around on this forum and we have all figured out how to make it work. The way i finally settled on was a very lightweight 14 foot car trailer. Why 14'? Mine is a CJ8 rock crawler that is, u guessed it, 14' long.
It has two 3500 pound axles, over rated tires, SOA, brakes, wood plank flooring and weighs a dainty 1100 pounds.
I once rented a U-haul car traler that weighed in at 2500 pounds, dry. What a boat anchor. Not made for convenience for the puller, but made to be bullet-proof for the company.
So, it is possible. Just worry your way thru the process and keep your eye open for that lightweight trailer.
jefe
'01.5 Dodge 2500 4x4, CTD, Qcab, SB, NV5600, 241HD, 4.10's, Dana 70/TruTrac; Dana 80/ TruTrac, Spintec hub conversion, H.D. susp, 315/75R16's on 7.5" and 10" wide steel wheels, Vulcan big line, Warn M15K winch '98 Lance Lite 165s, 8' 6" X-cab, 200w Solar