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I would suspect maybe you are losing the circuit 30 (constant 12v). I would make sure the constant hot is always there but if so maybe there is a battery or capacitor on the board like you stated. Still should be an easy diag and fix
Try the guys in NJ who specialize in Beckers radio. I just sent my old one to be repaired for my 1991 190 E. I found them on Ebay by searching for Becker Radios Good luck.