No real hope. Britain was Protestant and the Catholic Floridianos were not only against that, but a mostly military population in the first place and so easy to move around. The very small handful that existed afterwards in OTL was pretty easily swamped by the WASPs moving into the Floridas ever since.
Heck, the Loyalists had to move as well. US Americans might well be the first major group to really, really populate Florida.
EDIT: Also, here, just found this since the topic roused my interest: