There seems to be some confusion as to the use of a broker in buying/selling
DVC.
The broker's job is to facilitate a buyer hooking up with a seller. You already have that, so no, you don't need a broker in this case.
You MIGHT need the help of a closing company IF you decide that you don't want to deal with the transfer of title and recording of it in Florida.
If it is direct family, Disney handles things somewhat differently...but I think it has to be a parent, child, sibling. But Disney accounting can guide you through their process in this case.
Since it is family,and with Disney's structure in place, I doubt you need title insurance...which is for when you do not know the seller and want to make sure that the title is clear. So paying a broker or a closing company is not the best use of money.
Depending on whether DVC will waive ROFR for family, you need to be careful in the contract so that Disney doesn't take it. One way would be to list the selling price somewhat higher than the going rate. Or, you could try doing a TRADE of property....Your cousin gives you DVC and you give your cousin a boat. Disney would have to match the offer, and I doubt they would want to come up with a boat.
So first, contact Disney and ask them if there is special handling of a family transfer.
Good luck...and maybe post here to tell the rest of us what happened.