If this were in MY driveway, I'd pull the instrument cluster to replace ALL the stepper motors. Replace the soldered-in light bulbs at the same time.My instrument panel has 2 gages that don't work, the gas and batt gage, and batt light is usually dimly lit. I imagine it's bad step motors in the instrument panel. Could that be causing the draw?
If I don't start it everyday, in 2 days I'll have to jump it, so I know there's something up.
The "Batt" light is dimly lit. Probably means the alternator is not charging properly. Perhaps failed diodes limiting output current. I'm tempted to say that's where your parasitic draw is...except your meter is telling you there is no parasitic draw after about thirty seconds.
Have the battery load tested. I put a Mexican Optima in my '03 Trailblazer, and had a dead battery every month. Charge it overnight, good for another month. Changed alternator, changed starter (preventative maintenance at that mileage, they had no indication of failure) cleaned the battery cable ends, and the battery went dead the next month. Replaced battery...haven't had a problem since.