[LearnedfromTV]

Checkcalling twice feels a lot like Ad, maybe with a pair. I don't think you can expect a call very often on the river, maybe from AA or AQ. As someone else said, a slowplayed hand will usually bet the river. So the fact that you bet the river anyway tells me you have a very strong hand or (very unlikely) a three barrel bluff. I imagine you would often check the turn or make a smaller flush-pricing bet with a boat or quads so I think a small flush is more likely.

Until the river I would include JJ-66 in your range, charging the diamond, but the river push then becomes a bluff to try to get AdQ or AdA/KdK to fold. I don't think you get that fold often enough to justify bluffing when you have a hand with showdown value.

Edit: I like this kind of thread. Keep them coming.