Almost all hospitals have a new grad training program where you have a 2-3 months of training. It is true that most Boston hospitals do require new grads to have a BSN, but hospitals outside of Boston do hire ADN new grads. You may have read the many posts in this MA forum about how tough the job market is here for new graduates. Some people have posted recently that they graduated in May and still don't have a job, or even graduated last year and had to take jobs outside of the hospital setting (rehabs, nursing homes, clinics).
It might be a good idea to start applying early to hospitals in both FL and MA to keep both options open. With the current new grad job situation as tough as it is in this area right now, it might be better to work in FL and get some experience, then move here after a year or two when you can apply as an experienced nurse.
Another thought, the job market for new grads doesn't seem as bad in bordering states like NH, RI, and CT. A job in those areas could be an option if your home in MA is a close enough drive to those states.
On another note, good luck in your last semester!