I wouldn't mess about on the turn - push into his min-raise. You bet out super weak and he's most likely semi bluffing 9x, or running with mediocre holdings. If he was on a 9, then calling just gives him more chips to draw out.

The min-raise does scare me a bit, but if he flips a set or Q9, say "nh, sir" and move to the next SnG.