The idea here is that instead of having three factions from one Archon, you smush together a deck with cards from one house and three different Archons. So, say, you pull the Sanctum cards out of three of your decks, and that's your deck for this variant. On your turn, instead of declaring a house, you declare the Archon whose cards you can play that turn, and any reference to "house" on cards references one of the three Archons instead.
I expect flack from the "stop trying to build decks!" crowd, and that's ok with me. Just trying to be creative and keep things interesting.