What's your line to maximize return on this hand?

[adanthar]

The setting: Two days ago on Full Tilt, middle-late stages of a 20+2 MTT. They have deep stacks so it makes good practice.

The hand: with 120/240 blinds, there's a random EP limper, loose/weird/horrible button with 7K limps, I complete T8s in the SB with 6K and the BB checks.

The flop is T87, 2 hearts. I bet 720 or 800 or some such into the pot of 960. 2 folds, button calls.

The turn is a T. I think my action'll dry up very quickly if I bet anything substantial and want him to catch a straight, so I check. He minbets 240 into the pot of 2500; I'm completely mystified, shrug my shoulders and CR to 960 hoping he'll call *something*. He...min-reraises me to 1500. I do a mental 'WTF?'/victory dance take and 4 bet to 2700. He five bets, I six bet, he seven bets, I eight bet him all in and he proudly tables KTo for the 9'th nuts.

This doesn't have all *that* much to do with your hand, but for the record I would definitely reopen the betting.