[droolie]

Hand 1: Her range of 3-betting hands is pretty big here. I'm betting the river and calling a raise. She might have an AK but it's unlikely as the K would be the case. She might have AA in which case we pay her off. It's much more likely she's trying to drive us away with TT-QQ and will take the free showdown if we let her. If she is value betting AQs or AJs she'll call the river bet.
I think a good argument can be made for check-raising but I don't do it because AA or AK are likely enough that I don't want to pay three bets to see this showdown and I can fold this river.

Hand 2:
I check raise. I like our chances at showdown here very much and I think he's just value betting AA or QQ and the likelihood of him checking behind is very low. He's probably not three betting AK pf and given the 3 K's already out this is even more unlikley. If he has JJ I'll pay him off.