Is it ever possible to avoid getting busted by sets?

[drittz]

I've experience and seen this situation all too often. You get AA preflop (woohoo), raise it up 4x standard. Get a caller. Board comes something like 2sTcJc. Its drawy, better bet out big here to chase out the flush and straight drawers. You make a 3/4PSB and get raised 3x. He must be on a draw or have something like AJ or maybe QQ, KK. I'm either reraising AI or calling and betting out on the turn and river (provided no draw hits). This then goes to showdown and he turns over a set (and you feel like a idiot).

Now my question is if its ever possible to avoid getting busted assuming a stack size of 100bb each. I know that this will be read dependent. So how would you play it out considering if its a :
A) TAG
B) LAG
C) Crazy Calling Maniac

Most of the time, i get busted by all 3 groups of people in such situations. Is there some theory or method of playing to avoid it? Would like to hear from you guys.