How's the weather in California?
I wouldn't disreguard the grade beams altogether, I would assume in the worst case scenario that you have lost the bearing underneath your slab and thickening and I would design the loads to span between piers.
What is the size of this residence you are designing, one-family home, townhouse, apartments?
I'm on the other side of the world and our residential guideline for footings on reactive soils recommends a 12" x 16" grade beam with 3-No.5 bars bottom, 4" thick slab reinforced with No.3 bars at 8" both ways.
Without knowing what loading you are designing for, I would do an independent number on this.
Keep your thickenings at 12' centres and the design should be fine.