Given your read on Villian, I think it's likely that she bets in this spot, especially in a shorthanded pot. I would normally checkraise here, but the checkpush seems even better, as it looks like a bet on a draw. Hopefully she'll be holding an overpair or some sort of draw and will decide to call your bet.

If she is likely to raise your bet in this spot, then I prefer a bet, as she is more likely to call your re-raise push after throwing in a raise herself.