I don't really like these house rules and I'll say why.
If you're good at counting, or if you have the house cards memorized, you always know how much power people have and which house cards remain. The rules you propose don't reward treachery or conceit, rather they punish people who forget what happened two turns ago, or who haven't memorized all the house cards. You do know that people can look at the house cards in your hand whenever they want, right? The point is that people who haven't played as much don't gain a massive artificial disadvantage.Treachery and conceit come from guessing which decisions your opponent will make when you know what their options are.
There are several ways that the rules enforce the ideals of treachery and conceit which you value. For example, you are never allowed to show your opponent which house card you are using. You can tell them that you are using Tywin, but you can't show. They can never be certain, even if you wanted to let them have that certainty. They have to take your word for it. This means that if they decide to throw the battle they can never be sure that you aren't going to play Gregor and kill all their troops.
You can never show people how much power you are bidding. You can tell them you are bidding 5 tokens to stop the wildings, but for all they know you are bidding 0 or 14 tokens.
You can never assure someone you will give them support. They always have to ask for support after they've committed to the attack. You can promise to support them as much as you want, but after they make the attack there is always a possibility you will refuse to support them, or even support their enemy. At this point it is too late for them to decide not to attack.