This is how real men play KK

[mterry]

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An ace normally check-calls or check-raises.

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I don't know. I've never been in a live low limit game where a c/r on the flop was normal.

I'd estimate the bettor has worse than an ace 65% of the time, and the combined probability of no ace in 3 random hands is also around 65%. Since their hands should be at least slightly better than random, lets bring that % down to 50. That leaves you good on the flop .50 * .65 = 33% of the time. Do as you wish. You are getting 1:9 on a call and 2:9 +/- implied on a raise.

EDIT: 1:11 or 2:11. Missed two sbs

If the table is passive enough, I might raise and check behind to get to the river for two small bets. If it is a bit more aggressive I'd probably muck as you did.