I estimate my 2510 with twin F-115s with fuel and an average load of fishing gear comes in at about 6,200 lbs. I have a 9,000 lb trailer, and the trailer weighs about 1,500 lbs. Talk to the dealer, but I would bet that a 10,000 lb trailer would haul her A-OK.
BTW, I hear that the insurance companies are really cutting back on what they will insure down in FL and the rest of the Gulf Coast. I hear that if the boat is under 30' you have to have a trailer and sign a statement that you will move the boat out of harms way during a named storm. So I can see why you need a trailer. Since you live in FL and a named storm can come just about anytime between June and Dec, I'd get an annual towing permit for her.