AA early position in 5-10 NL game

[scags23]

This is more of a general question that arose from an argument me and my brother had discussing a specific hand:
Absolute Poker 5-10 NL : 9handed
I'm up abt 1700 and have 2700 in front of me- I raise it to $35 early position w/ AA....get cold called by a tricky, aggresive player one to my left with abt 2500 behind, another decent player w/ abt 2200 and the SB with abt 600.
Flop comes 668....I believe you check this flop to see how the hand develops. your only getting action if your crushed and I like keeping the pot small. My brother says you have to fire 80% of the pot here to take it down, and if you get action it is easy to get away from. I didn't want to get raised by a deep stack and be in a spot where he has me crushed (67, 88, etc)..However its a tough fold b/c they could aslo have a medium overpair, 99-JJ.
Whats the right line in this specific hand and more importantly is there a problem with checking 3-way pots with AA on boards to keep the pot small and see how the hand develops?

[cts]

Fold.

[berserk]

Just bet, you'll have a much better idea where you stand and will get value from many worse hands.