50NL: AQs Trips Facing Raise on Turn

[Cougar]

I struggle with optimal turn/river play here, any help would be appreciated

35/35/7.0 Villain over 17 hands 83% ATS (5/6 attempts). BB was very fishy, not that relevant for this hand (other than PF).

Despite small sample size, I had already mentally noted significant aggression both pre and post-flop from this villain thinking I might need to call down a little bit lighter than normal.

Pre-Flop: Given aggressive villain (35% PFR) and no reads on 3-bet %'s, chose to flat to keep dominated hands in play. Also, keeping a very fishy BB in the pot was a factor as well in favor of a flat call.

Flop: We flop trips & it's so nice to be in position, 2 checks = 60% PSB, BB folds but PFR calls

Turn: Flush completes so we are feeling much less confident about our hand now, think villain's range consists of made flushes, couple Full Houses, alot of weaker ace combinations and some air. Bet 2/3 PSB and get raised...... We are crushed by Full Houses (A9, AJ, AA, JJ) and AK. ~22% Equity vs. K-High flushes, much more vs. baby flushes since we have Qs and we crush lower Aces.

Options on the Turn Now:
Fold: Perhaps, but we have a fair bit of equity here especially given aggressive villain, 2nd nut flush draw and potentially lower aces in range (leak?)
Call: It's a $12 call for a potential future pot of >$100. This option keeps lower aces in the pot but we face a tough river decision ahead for this option if we miss and villain shoves
Shove: Simplest option, Aggressive play vs. aggressive villain but not sure if lower aces would call this so concerned that we potentially fold out all worse and not much better continues.

Any thoughts? If we do call, are we calling or folding to a river shove?

PokerStars No-Limit Hold'em, $0.50 BB (6 handed) - Poker-Stars Converter Tool from FlopTurnRiver.com
MP ($123.75)
CO ($42.95)
Hero (Button) ($56.60)
SB ($32.95)
BB ($50)
UTG ($42.25)

Preflop: Hero is Button with A, Q
1 fold, MP bets $1.50, 1 fold, Hero calls $1.50, SB calls $1.25, 1 fold

Flop: ($5) A, A, 9 (3 players)
SB checks, MP checks, Hero bets $3, 1 fold, MP calls $3

Turn: ($11) J (2 players)
MP checks, Hero bets $7, MP raises to $19, Hero ????