Plan with AA against LAG?

[djeric1]

20/40 at Borg... Hero is running super bad, but has a solid image for the most part. Villain is a good, strong, thinking LAG winner, although his opening range is admittedly, a little too wide at times. Villain also knows my tendencies well...

Folded to villain who open raises in middle position, and I 3-bet red AA in the CO, and we see a flop heads-up. Flop comes 567 2 diamonds, and villain c/calls. Turn brings a good card, an offsuit 5, and villain now check raises me. What's the plan here? Is calling down too weak? If you 3-bet, are we mucking to a 4-bet? Thanks for responses..