Term for turning "Florida" into "Flo Rida"
Solution 1:
The only thing I can think of is word play.
Word play or wordplay is a literary technique in which the words that are used become the main subject of the work, ..., and telling character names are common examples of word play.
It looks like an eggcorn, but Flo Rida doesn't mean the same thing as Florida.
It's almost an anagram but the letters haven't been rearranged so much as moved apart a bit.
It is an Aptronym (well, if you think Flo Rida is good at what he does.)
An aptronym is a name aptly suited to its owner.