AA 300 bb deep .5/1

[whodaman]

My friend was playing stars .5/1 6max and asked me about this hand.
Hero opens AA UTG +1 to 4
button who has us covered calls.
Flop is 279 with two diamonds.
Hero leads for 7
Button min raises to 14.

Whats heros plan for the hand?

Assume button is unknown and hero is 18/14 good reg.

I suggested exercising pot control by just calling the flop. I figured you could c/c c/c any non diamond turns/rivers or possibly lead the turn and fold to a raise.

He played the hand by making it 48 to go on the flop.

Whats your plan?