Congratulations on the gig in Boca and welcome to SMNetwork.
I have lived in Miami for a bit over 7 years - what type of work are you looking for? Most of the larger houses in the tri-county area (Miami-Dade, Broward, Palm Beach) are touring houses, so they come fully staffed. You may check them out to see if there are full-time resident positions available.
Some of the large touring venues ff the top of my head:
Kravitz CFPA - West Palm Beach
Broward CFPA - Ft Lauderdale
Adrienne Arscht CFPA - Miami
Fillmore - Miami Beach
Some companies / smaller venues in the area you may check out for show-specific opportunities. This is very Miami-centric as I rarely venture North of county-line road if I can avoid it
New Theatre - Coral Gables (Miami)
New World Sympony - Miami Beach
Florida Grand Opera - Miami
Actor's Playhouse - Coral Gables
GableStage - Coral Gables
Miami City Ballet - Miami Beach
Gusman CFPA - Miami
The arts scene in Miami in general has really developed over the last few years so I am sure you can find a number of other companies in Miami, but I imagine most would not be capable of paying a living wage.
I have been out of Stage Managing full time since I moved to Miami so I have not actually worked for any of these companies, so please treat this as more of a list than as recommendations of where to seek employment.
Good luck in your search and please keep us posted!