When I was at OFT they indeed did have a fleet of fixed wing (PA-28, C152 and C172 mostly) and rotary wing (R22 I believe). The R22s were not all that expensive, as I recall. I considered doing a trial lesson but in the end it didn't work out, schedule-wise.
And OFT is still advertising in the usual magazines, so I would assume they're still in operation.
As far as flying close to the Kennedy Space Center etc.: I think the normal low-flying rules apply, if they're not about to launch. If they are there's a large exclusion zone around the site. Even worse if they're expecting a Shuttle landing.