If you are unable to repair it yourself, in California, the best place to take your car would probably be to a STAR Certified Test & Repair Smog Check Station. They are specialized in emissions and fuel systems, including for carburetor engines. They should be able to repair your choke or anything else that is stalling your engine in the emission, fuel, or ignition systems.
Regular shops don't know anything about late carburetor engines of the 1980s these days, which lack computers and are run by a complicated maze of vacuum lines that make up the emission systems that have a couple of dozen subsystems.