Blinds 400/800/100
Hero raises to 1650 in MP+3 with KxQc (32,000 stack) and BB peels with 20k stack.
Flop AsJc8d (Pot 4400)
BB checks, Hero bet 1850, BB calls.
Turn 4c (pot 8100)
Villain checks, Hero bets 4800, Villain calls.
River Kc (pot 17,200)
Villain checks (13k stack), Hero?

The standard is probably to check back but we have so many value hands and not any real bluffs. We have a really good blocker to him rivering two pair, a straight, or a flush. He also just has a weak ace a lot and probably folds a lot of Jx and 8x on turn, therefore our hand doesn't win very often. If villain fast plays, as I think he does, he gets here relatively weak. Thoughts?