Hey Flare,
Former Tweet FAIP here currently flying B-2/T-38 and starting at DAL in March. I don't have any single-turboprop time, but from my experience applying at all the majors, your IP time in the T-6 would be about as valuable as more Viper time or T-38 time. Most of them have categories like "military fighter/trainer time" or "fast jet time." Since the T-6 is an aerobatic turbine aircraft, I think you would be fine to go there. A common requirement is "jet PIC" - 500 or 1000 hours, and you shouldn't have any problems meeting that between all your aircraft regardless of what you pick next.