Overcard plus flush draw ($200NL)

My line with this type of draw has typically to get as much in as possible. I'm about 75% sure my ace is a live out. Do you play it the same? Is it best to play it this way? Would this be an example of "bet it the same way you would bet a set?"

Full Tilt No-Limit Hold'em, $2 BB (9 handed) Hand History Converter Tool from FlopTurnRiver.com (Format: FlopTurnRiver)

MP3 ($78)
Hero ($349.55)
Button ($102.60)
SB ($40)
BB ($116.90)
UTG ($447.20)
UTG+1 ($170.75)
MP1 ($191.75)
MP2 ($156)

Preflop: Hero is CO with A, J. UTG posts a blind of $2.
3 folds, MP3 calls $2, Hero raises to $9, 1 fold, BB calls $8, 2 folds.

Flop: ($22) Q, 8, 3 (3 players)
BB checks, Hero bets $20, BB raises to $40, Hero raises to $130, BB calls $67.90 (All-In).

Turn: ($259.90) Q (3 players, 1 all-in)

River: ($259.90) 7 (3 players, 1 all-in)

Final Pot: $259.90

Medium stacks call more so it might be better to see if you hit and then bet it. Vs a tall stack with 2 overcards I like it this way. A medium stack with only 1 overcard and im not as sure. At worst its a small mistake though since you have so much equity Vs a Q.

That's what I was suspecting...ran some numbers though:
If my opponent folds 5% of the time, this is the best way to play it whether or not my ace is live. If my ace is live, then it's even more +EV.

Call w/ ace live (fold missed turn) nets $5.5, assuming no implied odds.
.25(82)+.75(-20)=5.5

Shoving here nets $32.5, assuming no fold equity (around $40 with 5% folding).
.45(82+67.9)-.55(87.90)=32.5

Call w/ ace not live (fold missed turn) nets -$1.64, assuming no implied odds (with modest implied odds, it's probably break even).
.18(82)+.82(-20)=-1.64

Shove w/ ace not live nets -$4.67, assuming no fold equity (nets +$3.5ish if we grant 5% folding).
35(82+67.9)-.60(87.9)+.05(82)=-4.67