UPT Bases Are Not Specific (Except Sheppard)
They'll send you to any base, except Sheppard, which conducts Euro-NATO training...which is geared towards fighters. Randolph only does Instructor training. Moody got BRAC'd and no longer does Primary.
As I understand it, guys who don't do well at Sheppard can still get a non-fighter...but yours is the opposite. You know you're supposed to get a Herc.
You could go to Columbus, Vance, or Laughlin. They could send you to Pensacola (Whiting) or Corpus Christi to do Primary with the Navy (not 100% on Corpus; but I know the Navy has a Primary base in Texas).
Personally, I'd go Columbus, Vance, and Laughlin, in that order, and stay out of the Navy-switch-to-Air Force route. One less PCS; one less different way of doing things. Navy is still flying a lot of T-34Cs; the USAF is flying T-6As except for the last class of T-37 guys at Sheppard. Overall, the T-6A is a much better airplane than the T-34.