The BXO and BMO positions do not need to be deployed members.
The name is supposed to be related to the geographical area. Magic Iron is a mountain range, Delta is a waterway, Snow burners get a lot of snow.. etc. So we are limited there. I do think there is a nice brother hood in WABAT and CABAT visually, but verbally it doesn't sound great. I do also like Papa's suggestion of COMBAT.
I don't want to limit the battalion to just SoCal, so other names would have to play on California as a whole like being the Sunshine state or avocado toast or something.