I tired to get a room at Austin Motel on Jan. 1 around 10:00am and they were all booked up...I usually just stay at the Marriott off of 35 and 51st. Breakfast is good and just down from all the shindigs...
The little town of Buda, just south of Austin (maybe 10 minutes from the Continental Club) has some new hotels, and it's an easy drive.