Am I shoving too early? Could I have gotten more value on later streets?

Winning Poker Network (Yatahay) - 25/50 NL - Holdem - 9 players
Hand converted by PokerTracker 4

UTG+1: 194.24 BB (VPIP: 33.33, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 6)
MP: 205.86 BB (VPIP: 16.67, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 6)
MP+1: 197.6 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 6)
Hero (MP+2): 196 BB
CO: 215.9 BB (VPIP: 50.00, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 6)
BTN: 177.42 BB (VPIP: 33.33, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 6)
SB: 212.6 BB (VPIP: 33.33, PFR: 33.33, 3Bet Preflop: 50.00, Hands: 6)
BB: 267 BB (VPIP: 16.67, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 6)
UTG: 190.3 BB (VPIP: 16.67, PFR: 16.67, 3Bet Preflop: 0.00, Hands: 6)

SB posts SB 0.5 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.5 BB) Hero has A A

fold, fold, MP raises to 2 BB, fold, Hero raises to 6.5 BB, fold, BTN raises to 16 BB, fold, fold, fold, Hero raises to 45 BB, BTN calls 29 BB

Flop: (93.5 BB, 2 players) J 9 6
Hero bets 151 BB and is all-in, fold

I'd just bet like 36bb

short answer: against one opponent, definitely shoving too early and losing value..

Yeah I would bet 1/3th of his stack he has left OTF. Shove all turns. Maybe he wants to see what happens OTT and feels a lot more commited than OTF.

I'm in the value bet camp. Shoving here wins us the pot, that's about it. Getting called by worse is pretty unlikely at the $100bi level, so with the spades on board I'm betting 35-38bb.

Overall this was really poor post flop play, but I think you know that.