How to deal with min-raises?

How do I deal with a min-raise? Say I raise A/J from MP3 to 6c, and SB re-raises to 10c.

Normally I would fold A/J to a reasonable 3 bet unless I had specific stats/reads on an opponent but what to do when I get min-raised? I'm getting good odds to call but I know that A/J more than occasion will be dominated.