Ken, I can give you instructions on how to add a new Base Club record easily enough, but I am concerned it will open a can-o-worms because you won't be able to accomplish what you want.
A clubber can only be assigned to ONE "club" within a given club year and thus the set of session records that get created are associated to that single club. If you create a new Sunday School club and even set up a series of 52 session dates for each Sunday of the year (which is easily done), you won't be able to assign a clubber to that new club without losing valuable data for their existing/previous club. If you try using the member's Club Name field and switch it from say Sparks to Sunday School, you will lose all of the existing Sparks session records.
The reason that we can currently track VBS or CAMP for example, is that the dates for VBS fall OUTSIDE of the typical Awana Club Year, thus there is no conflict.