Hi, picking up a lift from Florida to Aruba would not normally appear difficult, except that not a lot of sailors will want to head into the wind during the hurricane season. It about 1100 miles from Fort Lauderdale to Aruba and, in September, it will generally be 'uphill' all the way.
If you are now in Florida, I recommend contacting local sailing clubs (Google them) and putting your details on notice boards in marine businesses. I wish you well, but reiterate you may have some trouble with a September departure.
"if at first you don't succeed....Redefine success"!