Hey Jannik,
i agree with Big Dick on panamacademy i've been there training although not in a FAA program, but with the KLM flight academy JAA program. They may have done a little bit more for us, but the facilities are very good over there so the FAA programs should be good as well. The planes are nice, most of them less then 3 years old!
Just the fact that Fort Pierce is not the place to be, if you want to have some fun could be a disadvantage but that may help you actually study