I recently talked to Games-Plus about doing a regular LCG Game Day. As far as regular days go, Sunday seems to be the best day, at least with my group. Saturdays could work for specific events/days, but often there are other events that would bump any regular group. Certainly it would be harder to have enough room for more than 6 people on most Saturdays.
They seemed open to the idea of doing the organized play kits, but I have not heard back a definitive ya or nay.
If you're interested in AGoT and other LCG/Boardgames I'd recommend joining:
http://www.facebook.com/groups/dawolfpackagot/
We have been doing monthly gaming at GP and other locations.