2nl Shove OTF with Overpair

[DJAbacus]

As I mentioned in a few posts I feel I'm too passive at times and am trying not to be auto-passive in tougher spots.

Here's a tricky spot for me.

After plenty of thought, I decided to shove vs unknown here because:

I get called by worse hands: any overpair and A7
I fold out 98s and the odd junk combo
Even if I'm behind I still have 2 clean outs, not much but it all adds up

I did my EV calc vs this range ( Call(win) + Call (lose) + Fold (win)) and it came out a massive +2.97

What do you think of my calling range for this Villain?

888 Poker - $0.02 NL (6 max) FAST - Holdem - 6 players
Hand converted by PokerTracker 4

BTN: $1.03
SB: $5.81
Hero (BB): $3.41
UTG: $1.69
MP: $2.35
CO: $2.19

SB posts SB $0.01, Hero posts BB $0.02

Pre Flop: (pot: $0.03) Hero has A A

fold, MP raises to $0.07, fold, fold, SB calls $0.06, Hero raises to $0.24, MP calls $0.17, SB calls $0.17

Flop: ($0.72, 3 players) 6 3 7
SB checks, Hero bets $0.56, MP calls $0.56, SB raises to $1.50, Hero raises to $3.17

EDIT:

I narrowed it down and recalculated and still +EV to shove here.

Calls with KK QQ 66 33 77 (still 56% equity vs this range)
Folds JJ TT
(So no A7 99 88 or 98s in his raising range OTF this time)

Basically I'm ahead of his range and I bet 3.61 to win 5.01 (+ folds) = +EV