That's what I suspected. Does the problem happen when on 12volt only?
IMO this type of problem indicates something is likely to fail, may last another 20 years.. or 2 days.
Last time I was in a converter they are fairly simple devices, perhaps check and see if there are any TV repair folks around, you'd be surprised how many retired engineers make money on the side fixing electronics. Or find someone selling high end stereos on craigslist, often those folks are buying and fixing up old high end equipment for resale.