Thank you, campo007 and vinylvalet! Your kind advice is precisely what I needed to see. Guess we can understand why Shanling made it next-to-impossible to know how their remote controls look and work.
I wound up buying a Primare CD31 in near-mint condition. (Yes, old, and yes, I've seen the reasonable comments about not buying CD players/transports with worn-out lasers. So far, the sound I'm hearing is A-OK and then some . . . best ever in my HiFi Room.)
Thanks again, y'all, Chaz