Chances are that he will not raise AT or TT at any point before the river. If he does, then it's a minority of the time. He's a passive player to begin with, and you're taking the betting lead, so he doesn't have any reason to be aggressive with those hands. This is along the same lines as trips.

When it comes to discounting KK-JJ, I feel like JJ makes it to the river more often than KK because of pre-flop 3-betting.

If you want to go deeper, then look at how you should play your entire range.