[nath]

your check-raise is weak. you have to raise more or not at all.
a min-reraise preflop does NOT always mean a big pair so don't assume it does... but you still have to proceed with caution.
basically, your whole line is backwards. you should lead the flop if you think you're ahead; if you want to check-raise, you should raise more; if you do check-raise and are called, you have to push the turn.
but there's no shame in check-folding, or check-calling once. it's just an overpair, and not a very good one-- the action indicates there is a decent chance you're beaten. (But yeah, people do this with AK and suited connectors sometimes, too. or even smaller pairs. But still.)