10NL AA MP 4-handed flop

This table has been moody. My EP raises have either won it pre-flop or gone 4+ handed for the past 30 minutes or so. So when I raise my Aces, I'm thinking, "call, call, call!" Then I got 3 calls. Crap!

Flop comes scary as can be for AA, and I've got 3 Villains, each on a super wide range.

Horrible time to turn AA into a bluff?

Bovada - $0.10 NLHE - 7 players

UTG: $28.45
Hero MP: $17.37
HJ: $6.80
CO: $14.45
BTN: $9.03
SB: $10.95
BB: $9.84

SB posts SB $0.05, BB posts BB $0.10

Pre Flop: (pot: $0.15) Hero has A A
UTG calls $0.10, Hero raises to $0.50, HJ calls $0.50, fold, BTN calls $0.50, SB calls $0.45, 2 folds

Flop: ($2.20, 4 players) T J 8
SB checks, Hero bets $2.50, fold, BTN calls $2.50, fold

Turn: ($7.20, 2 players) 9
Hero checks, BTN bets $6.03 (all-in), Hero folds

BTN shows: J 7

I'm definitely turning AA into a bluff OTF. What do you think of the flop bet? Is it too big? Too small? Just bad timing?

What would you do here?