Check your TV ampifer first to be sure it is not on, they will stay in the on position even if power is removed. Because it is a switch not pushbotton, it remains on, and the led is often hidden by TV, current draw is usually about
4 amps , add the detector about 1 amp =5amp.
Another area to look is the detectors propane, carbon monoxide and fire combined they can use 1.5amps and an old style light 2.5amp(non-led)
If the source of the current draw still is not found, You sound handy with a VOM pull out the convertor(approx 4 screws) & check each DC curcuit to ground.(ohms) should be high, remove all power 12dc & 120ac first
Many RV's from that time period had seperate 5 amp fuses on the refrigerator control board and were wired directly to 12vdc buss at the convertor but no fused there. I have fixed several control boards for fellow RV's and boater's back then. The common thread was that the a/c power cords were plugged in with the ref. in auto, always turn off the ref. even when in gas. The current spike in the 12vdc and 120vac lines caused by the convertor and ref. powering up at the same time can damage a reed relay chip or blow the fuse.