AQo 3bet pot flop trips.

888 Poker - $0.05 NL (6 max) FAST - Holdem - 6 players
Hand converted by PokerTracker 4

CO: 29.6 BB (VPIP: 33.33, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 18)
BTN: 119 BB (VPIP: 14.29, PFR: 14.29, 3Bet Preflop: 0.00, Hands: 14)
SB: 75.8 BB (VPIP: 15.63, PFR: 15.63, 3Bet Preflop: 0.00, Hands: 32)
Hero (BB): 129.6 BB
UTG: 115.2 BB (VPIP: 24.91, PFR: 19.34, 3Bet Preflop: 7.82, Hands: 1,085)
MP: 56.8 BB (VPIP: 29.73, PFR: 19.44, 3Bet Preflop: 0.00, Hands: 38)

SB posts SB 0.4 BB, Hero posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has Q♥ A♦

fold, fold, CO raises to 2.8 BB, BTN raises to 8.6 BB, fold, Hero calls 7.6 BB, CO calls 5.8 BB

Flop: (26.2 BB, 3 players) A♣ 9♣ A♠
Hero checks, CO checks, BTN bets 13 BB, Hero calls 13 BB, fold

Turn: (52.2 BB, 2 players) 6♥
Hero checks, BTN bets 33.8 BB, Hero calls 33.8 BB

River: (119.8 BB, 2 players) T♣
Hero checks, BTN bets 63.6 BB and is all-in, Hero calls 63.6 BB

Hi guys !

Preflop I put vilain on that range (this is moreless what I 3 bet in position vs cut off open):

Board: A♠A♣9♣
       Equity     Win     Tie
BU     17.44%  13.84%   3.60% { 99+, ATs+, A5s-A2s, KQs, K9s-K8s, QJs, T8s, 97s, 87s, 76s, ATo+, KQo }
BB     82.56%  78.96%   3.60% { AdQh }

When he bets the flop, I guess he has a lot of Ax, and flush draws, and 99 also.
On the turn, ok I remove half of his flush draws without ace, that he might check behind.

And now he shoves the river, I have 2.88 to 1 to call (26% equity needed).

Board: A♠A♣9♣ 6♥ T♣
       Equity     Win     Tie
BU     62.00%  56.00%   6.00% { 9d9h, 9d9s, 9h9s, 87s, AhKh, KcQc, AhJh, AhTh, Kc8c, Tc8c, Ah5h, Ah4h, Ah3h, Ah2h, AhKd, AhKs, AhKc, AhQd, AhQs, AhQc, AhJd, AhJs, AhJc }
BB     38.00%  32.00%   6.00% { AdQh }

So in game, I called. And I am still quite happy with it.

Is there a best way to play that hand?
Did I evaluate his possible range in a wrong way?