I assume blinds are like 10c/20c?
No need to reraise pf imo, 66 is not that incredible. You don't mind being the first raiser, but it's not a hand you want to go to war with.
Calling on the flop is fine. Low draw to the nuts, reasonable chance to escape for high.
You should fold on the turn, though. You basically have no chance to scoop the pot, and your opponent is showing a lot of strength, so you might get quartered (tie for low and lose high) even if you make your hand. Even if your draw is good, it can't be worth $8.55.
Obv easy call on the end though.