I was listening to a video Ike made for the Team Online week, and I had a question regarding how to build ranges from a theoretical point of view, as Ike seems to be going through this type of play mostly when he plays.

BTN opens and SB (hero) 3bets with AJo. Flop is J65r. Ike mentions that the plan is to bet 3 streets for value unless the board runs bad. He says that his range will be polarized to bet the flop, and he will most likely just give up when he checks the turn, otherwise continuing to value bet with his stronger hands and bluff some hands as well.

He says that he would check hands like TT on the flop almost always, so he's implying that he will go for a c/c with a part of his range, but he doesn't go into more details.

I am familiar with how to play a polarized range against a bluff catching range in theory when we bet 3 streets and remove bluffs on each street, but the thing that I find difficult is how to build my c/calling range. Should I c/c with hands that can't go for 3 streets against villain's felting range and just c/c with them, folding a % of my range on each street based on pot odds, OR should I try to put strong hands in my checking range to avoid having a capped range, which would lower my cbet % and almost my bluffing frequency.

Any help is greatly appreciated.