Extracting value from AA multiway (100nl)

Anyway, at first i was anticipating posting this hand to see as the best way to extract value from AA with multiple people preflop. That kind of turned since i lost the hand, but im still looking at did i play this correctly? I know this is a sort of bad beat but im wondering if this the best way to get max value for my AA? Should i have raised more (would it have mattered?)/shoved preflop? I was hopeing to get a 3 way flop (me and two others) and shove the flop with such a massive pot. Did i play this ideally and just get ourdrawn? Is this the best way to play the hand to get the max value for your AA but still not allowing myself to get runover by allowing too many people to see the flop/drawout?

Cliffnotes: Is this the most ideal way to play AA in this situation? or would you play it different?

CoDiesel01 runs 40/11/3.5 over 55 hands, o1959 runs 20/0/3.5 over 55 hands.

Hold'em No Limit ($0.50/$1.00) - 2007-07-23 16:23:39
6-max Seat #5 is the button
Seat 1: CoDiesel01 ($319.75)
Seat 2: o1959 ($175.25)
Seat 3: natstar1 ($100.00)
Seat 4: Hero ($104.00)
Seat 5: xsonics2k2 ($49.00)
Seat 6: gomhij ($39.00)
------------------------------
NEW HAND
gomhij: posts the small blind $0.50
CoDiesel01: posts the big blind $1.00
--- DEALING POCKETS
Hero is dealt [As,Ac]
o1959: calls $1.00
natstar1: folds
Hero: raises $4.00 to $5.00
xsonics2k2: folds
gomhij: calls $4.50
CoDiesel01: raises $7.00 to $12.00
o1959: calls $11.00
Hero:, it's your turn. You have 10 seconds to act
Hero:, it's your turn. You have 5 seconds to act
Hero: raises $30.00 to $42.00
gomhij: folds
CoDiesel01: calls $30.00
o1959: calls $30.00
--- DEALING FLOP [Qc,7s,5c] (Pot $130.50)
CoDiesel01: checks
o1959: checks
Hero: goes all in $62.00
CoDiesel01: raises $215.00 to $277.00
o1959: folds
$215.00 is not called, return back to CoDiesel01:
CoDiesel01: shows [Qh,Qs], Three of a Kind, Queens
--- DEALING TURN [Jc]
--- DEALING RIVER [Ks]
CoDiesel01: shows [Qh,Qs], Three of a Kind, Queens
Hero: shows [As,Ac], a Pair, Aces
Hand 821097200:
CoDiesel01: wins main pot($252.00)
with Three of a Kind, Queens

you played it fine