Turkey Point can be expensive for an outage. If you do the RV thing, call Goldcoaster in advance for reservations in Homestead. Gated, security patrolled, private, and clean. Worth every penny!
If you aren't doing the RV thing, go to Key Largo, and don't stop between Key Largo and Checkpoint Charlie at Turkey Point. Stay away from apartments and hotels in Homestead / Florida City. Stay away from malls and theaters and bars (people spend hours in there, and bad guys know it!) I am sorry to say even churches in Homestead suffer break-ins in the parking lot!
With those precautions, you can have a good Turkey Point visit.
As far as Saint Lucie, I would expect to spend quite a bit for a place to stay. Besides that, it's a beautiful place to work. The crime isn't usually a problem unless you get to downtown Fort Pierce (near the North end of Hutchinson Island).