Something to think about. Double-paired boards.
JT:
If you are in the BB and maniac raises and it's folded to you, you'd call, right?

I did some quick calculations and with a board like
2KK99 (w/ no flush possible), it appears to make sense to c/c all the way with JT. The preflop is, in my mind, the only possible place to fold this hand.

(raising the flop is -EV)

On the river, you're getting like 6:1 to call and the only things that can beat you are 2x,Qx,Kx,Ax, 22, or AA-TT.

Even with 2KK66, the range of things that can beat you is small enough to warrant a call.