This hand is a pretty good illustration of why I don't generally like trying to engineer checkraises at LLSNL, especially when deep. You checked to the button in hopes he'd bet with air, but LLSNL is passive, so his bet turns out to be a real hand.
This hand is basically never going to play out as you checkraise, button calls, you bet turn, he calls, you bet river, he calls, AA is good. Instead when checkraising goes well, that usually means that both of them folded. You've then managed to deny them their equity, but as usual in NLHE, this comes at too high a price - forfeiting future value bets which flow from keeping your range wide, and opening yourself up to a reraise.
You have a little under 30% equity against a range like { JJ,77,55,KcQc,KcJc,QcJc,Tc9c,Tc8c,9c8c,8c6c } so you're going to have to fold, as you're calling for more like 36% of the final pot. AA without the A
you could possibly think about calling, as then there's a lot more NFD in his range. But the problem here is the checkraise.