Ok lets brainstorm some new names:
The Florida State Rednecks (nope insults southerners)
The Florida State Oldtimers (oops that is insulting to the retired persons)
The Florida State Swampers (darn too many endangered species in the swaps)
I got it how about the Florida State Sunshines (no no no too much sun is bad for you)
The Florida State Beach Bums (Um that will insult some of Floridas population)
Add any more that you can think of.
I was thinking that maybe they could use the geographical coordinates of Doak Campbell Stadium as their team name, but then I realized that schools south and east of them would have smaller numbers for their latitudes and longitudes, and that might harm the self-esteem of those other schools' players. Let me try again...
FloRIDians
The Orange Blossoms? Mockingbirds? Palm Trees? Pine Trees? Water Oaks? Fiddle, not a single warrior-inspiring name there!
How about The Recounts.