FWIW I think you can get some more value here: I'd eliminate all Qx hands from his range except maybe QT; eliminate 99,QQ,KK,AA,JJ,22; eliminate KT,T8, TJ. I think he would bet all these hands before now. So what are we left with AK, 33,55,66,77,88,TT, maybe A4s and he calls a river bet maybe with 55-88 & TT. So unless he's slow playing you, I think there are enough hands in his range that you beat to make it worth betting the river for value. If he has QT, TT, then you might be able to push him off with a bet. So somewhere between $35 and $60 is probably where the answer lies. I can't see him re-raising with his stats without actually having you beat.
I keep trying ... one day I will actually say something insightful about poker