Speaking for California (most states are probably similar):
In order to apply for WOFT you must interview with, and be recommended by, the Aviation Battalion Commander and Flight Facility Commander you will eventually belong to. You then have to go to an in-person flight school selection board and a follow-on in-person Federal Recognition Board. One of their biggest talking points is longevity within the State and commitment to the training requirements associated with being an aviator. If selected by the State Aviation Office and pass the FEDREC board, you will become a WOC and await your WOCS/IERW school date (you then belong to the aviation unit and must begin drilling).
While probably not impossible to apply to more than one state, there will be plenty of legwork required and they will want to see total dedication to the process.