don't think you are doing anything wrong
since your meter only goes up to 1 amp, and i'm sure you're pulling more than that 'cause of your drainage issue, your meter probably won't be able to register the reading. i actually blew a fuse in the first meter i used since it wouldn't read high enough. i'm not quite sure what the optimum reading is, but i remember seeing like a .012 - .016 amp reading at normal running range. before i fixed it, i was getting reading almost up to 3.0 amps. so when you isolate the problem by removing fuses, you should see the reading go way down and readable when you pull out the problem fuse. hope this helps.