Sean -
I don't know about getting out as a single on the weekend. Obviously, the earlier you get there in the a.m., the better your chances are.
You may want to give them a call several days ahead of time (like Monday or Tuesday) and see if there are any 2- or 3-somes booked for the weekend that have open spots. You never know, they may be able to fill you in and give you a confirmed tee-time. It is certainly worth a phone call. Good luck!
DT