your possible plays are:

1. check/fold
this is the safest, low variance play. Given the button's stats this probably the best play.

2. bet to see where you are
the most likely scenario is you bet, he calls, you check, he bets, you fold. A player this tight most likely will not fold, and the moment you show weakness he'll probably bet you.

3. check-raise
tricky plays like this at low limits are probably pointless, but he'll probably remember you forever if you show down the 99.