Lots of good info from Midatlanticdad... I will add that you can also look to any well connected travel coaches, instructors or HS coaches you've had recently that may be able to refer you. Many JC's are constantly on the lookout for players in the very situation you describe (to pick up for spring semester). You may also inquire about NAIA schools. I can't speak specifically to the rules but I think there may be more flexibility and I know many of those schools also bring in players for spring semester. And, there are many NAIA's in your region.
Be aware and prepared that the more likely opportunity in situations like this comes up at a program with less depth and is perhaps less competitive than your original destination.