There's a fun saying that goes, a three speed has too low, too high, and not quite right. That aligns with my experience.
I'm generally pretty happy with my 8-speed IGH, but I live in Oregon and I'm typically going either up or down a grade.
In Florida, I'd probably opt for the 3-speed over 7 just because I find 3 more appealing in a minimalistic way. Truth be told, if I lived in FL I'd have a SS/FG, and maybe one of those two-speed kickbacks just for fun.