Really sounds like a computer problem. We found that the computer in 2950-type radios would want a quick, bounce-free turn-on when power is applied. Turns out the computer's internal reset/startup sequence depends on this.
A radio connected to an old-school linear power supply would fail to boot. Blank screen. But only when we turned on the AC power supply with the radio already powered on. The output of a power supply with a big filter cap rises too slowly. A click of the radio's power switch to "off" and then back "on" always got the radio running. Had the same thing happen when you plug in the DC power cord with the radio's power switch already on. The pins in the power socket will briefly make, break and then make again as you slide the plug into the socket. Those brief interruptions would disrupt the computer's reset/startup functions and get you a blank screen, or egyptian hieroglyphics on the display. Click off, then back on. Works until the power switch gets dirty.
A computer problem suggests that any advice you can get from the manufacturer could save you lots of aggravation. If you're the only one to report this fault, tough luck there. But if they have had lots of calls or warranty returns for the same fault, they may know what to do. Might even share it.
I have no info on file about that radio at all.
73