Well, since no one wants this one, I'll take it.
In theory, we should fold the flop... because:
1) Min-raises are typically strong hands (http://forumserver.twoplustwo.com/78/micro-stakes-full-ring/minraise-data-analysis-micro-stakes-long-131987/). The distribution gathered from that data shows that min-raises are typically 35% top pair or worse, and 65% are better than top pair.
2) A 35/12 split typically means villain is passive, and won't be check/raising here with a ton of bluffs/weak hands.
3) We have a blocker against combo draws.
However, in practice, I'm not sure I have the will-power to fold flop. And once I make it to the turn, I probably call there as well now that we've hit a draw. Villain is likely bad, and probably willing to pay us off with a set/AJ if we hit the river.