I don't like it, but, personally, I check the turn, fold the river. I might call a bet of $0.30 or less, and hate myself when it was obv. V-bet on a boat
Like you said, the river an easy spot for Villain to bluff, as he can rep A high (expecting a chop if you call), with a W I D E range of hands. Also, Villain might think Hero's C-bet was all air.
Thing is, overpair to a paired board is marginal. I can be patient for a better spot.
*note: I would have raised to $0.18 pre-flop.