Had this problem in the 84 I had. I got the thing from my brother who had made some modifications putting in a CB radio amongst other things. We finally put a battery cutoff in and used that. The one time the battery cutoff was left on, the coil caught fire...boy that was an interesting month (a lot of people in my family had vehicle fires that month...started with my dad, then my ex-husband, then my sister, and then my husband)...but anyways, we never found the short before we sold the vehicle.
One thing to check is to make sure you don't have any bare wires!
Colleen