Return of Vehicle Deposit in Baja?

We're thinking of driving home via Baja California, but are concerned we might have problems getting our $300 US vehicle deposit back. We would prefer to cross into the USA at Tecate, instead of the zoo at Tijuana, but since Tecate doesn't even issue Temporary Vehicle Import Permits, we fear they also might not handle the exit process, (i.e. entering into the computer that the vehicle has left Mexico, and refunding our $300 deposit.)
Does anyone know if Tecate handles that? We'd sure like to avoid Tijuana, and a detour all the way to Mexicali is out of the question.
How about the crossing at Otey Mesa? Would they handle it?

Another thought: When we drove south through Baja a few years ago, we picked up our Vehicle permit in La Paz, before being allowed to get on the ferry for the mainland. We would be doing the reverse trip, arriving in La Paz from the mainland. Maybe they would "process" our exiting there in La Paz, along with the refund of our deposit? Anyone know?