Heads up in the first round of a 8$ 2x shootout to the sunday mill. The hand before this I shoved on him with AK on a AJ8 flop and showed. He had not been raising 3x the big blind unless it was a premium hand. Not just premium for short-handed play, but PREMIUM. So if I put him on a range of hands such as JJ-AA + AQ, AK (possibly KQ, AJ, doubt TT) what do you do here.

Now, I do know what the percentages are. That isn't my question. My question is what do YOU do in this situation and why. We're 28 and 32 big blinds deep.

Poker Stars
No Limit Holdem Tournament
Blinds: t75/t150
2 players
Converter

Stack sizes:
SB: t4825
Hero: t4175

Pre-flop: (2 players) Hero is BB with T 7
SB raises to t450, Hero calls t300 (pot was t600).

Flop: T 5 9 (t900, 2 players)
Hero checks, SB bets t600, Hero ...?????

Out of those options, i shove, but if i were in this spot i'd raise and leave myself with 1200 behind then push the turn if he flat calls.

I agree. Pop it to $2200 and shove the turn if he flat calls.