[Hail Eris]

I think raising is pretty hot here, just because you're so deep and this board is sick, and he probably folds everything but the nuts, which would be rather odd for him to have. However, you should remember that your line doesn't actually make sense with the nuts, unless you have exactly KhJx or KhKx, and he probably expects you to fold the KJ.

I wouldn't raise if I thought he was good at handreading and could make a hero call, but I think raising is definitely better than calling.