How about:
House Arryn:
You may play House Arryn Cards at no penalty. You may play Stark and Baratheon Cards at -1 Penalty. +2 Gold.
House Tyrell:
You may play House Tyrell Cards at no penalty. You may play Lannister and Baratheon Cards at -1 Penalty. +2 Gold.
I also thought an alternative could be "Start with the Eyrie/Highgarden in play" and then they could make a more applicable version of those cards.