[milesdyson]

you should raise a river bet when you are ahead of villain's range often enough to make this for value, including the times he 3-bets a better hand and you pay off his 3-bet.

also consider another thing that always must be the case: there will be hands he can 3-bet in his range that you beat. however, the added information we get from his 3-bet means that our equity is too low to cap for value.