$2/5 - nine handed

mp2 ($300) limps
HJ ($600) limps
Hero CO ($2500) AdQc raises to $25
BTN ($3500) calls
both limpers call
four ways

Flop ($100) Qh-Tc-3s
check x2
hero cbet $75
Btn calls.
other two both fold.

Turn ($250) Qh-Tc-3s-Ah
Hero bets $150
BTN calls

River ($550) Qh-Tc-3s-Ah-Qs
Hero checks
BTN checks back

Btn is one of the crushers in the game, usually sitting on 400bb+ every other session. Plays very exploitable poker with a tight range and good hand reading. He is tag style with good balance to his bluffs and value. Has a pretty merged value raising range. Not one to 3 bet too light unless its a squeeze.

On the river I am not sure what the best sizing is here being this deep. I think a big bet basically only reps a full house. I don't think I have any AJ or AK in my range here given my 75% sizing on the flop four ways. I could definitely have it, if I were to range bet MW for like $35 though. I think my hand looks semi face up, but I also expect him to have mostly KJ here as well, Maybe A10s? Trying to think of what hands he calls flop with here for this sizing. KJ (16), J9s (4), TT (3), QTs (1), AJs (2), AK (8) ... I really feel this deep the best play is to check, let btn bet his bluffs and a lot of value for like $350ish as he likes going about 2/3 pot as a standard, then I can XR to like $1025 or so. If I do bet the river for $300-$400 here, i don't think he raises me at all with TT or QT. Well, QT is a bit closer since he blocks a lot of my boats here.

Whats the best play?