OK, if there's that, open the power distribution box, and put your finger on the relays. See if you can feel which one is going spastic, and using the map on the inside of the lid, you should be able to see what it controls. This could be as simple as a bad relay.
Pull the relay, and see if your power draw vanishes.
2000 Grand Cherokee Limited 2wd, 4.7L V8 - It's blazing fast, blue, and the heap of Jeep.
2002 Dodge Ram Quad Cab 2wd, 4.7L V8 - Hailstoned, windshield cracked, storm chasin' truck. But dependable.