[Patonius2000]

His range by the river will typically consist of Jxxxx with hearts, overpairs with hearts and rundowns with hearts. I doubt he calls turn with 35xx unless it has hearts and his J5 and 35 combos should be fairly limited unless he is very loose pf which it doesn't seem he is based on OP. Lets assume he raises 64xx on the turn, a bunch of his rundown stuff is going to have a 5 in it and a lot of his smaller fds fold turn unless it has a draw to the higher straight to go with it (so 689Jhh for example). What we can deduce from this is that his range is capped(ish), he can get to the river full but it's much more likely he has a missed draw with better sd value than you.

Soooo, if you think he is very cally and passive c/f (the point about passive is if you would think he thinks the turn is a check with a set for example he will find you 3rd barrel incongruent with your 2nd barrel), if you think he can hand read/turn better sd hands in to bluffs and will vbet 5x, QQxx-AAxx then c/r and if you think he is a fairly passive L1 nit who weights his decisions too heavily on absolute hand strength then 3barrel.