Looks like you are on to something, Indy. Here's a quote from the Bible:
"[Model 68] Variations
• California Highway Patrol Commemorative: 1984. Caliber: .38 Special; a limited edition commemorative version of the CHP Model 68 offered in May 1984, engraved with the CHP “Winged Wheel” on the sideplate, with “California Highway Patrol” engraved on the barrel, with belt buckle, laser engraved walnut presentation case.
• “Los Angles Police Department”-marked Model 68-2 , red ramp front sight with black outline rear sight. Chambered in .38 Special, 6" barrel. Product code 102891. Serial number AJH7108 was our example.
• Prototype Model 66-2 with 68-2 overstamp serial number AES0001 with “Los Angeles Police Department” on the right side of the barrel, with maple stocks in 6” barrel configuration in .38 Special."
Supica, Jim; Nahas, Richard (2006-12-20). Standard Catalog of Smith & Wesson 3rd (p. 219). F+W Media, Inc.. Kindle Edition.