Pretty sure breastfeeding is protected all over the US. It certainly is in Florida.
I'm not even big in that department, don't wear a bra for yoga, but running? That needs a sport bra, and working outside I wear long sleeves to keep the sun off.
I do think beaches here should allow topless suits for women though. That might go a long way towards desexualizing simple nudity, people would get used to it. I agree that it ought not be a rule that you have to cover your boobs at all if you don't want to.