I doubt that any of the radio shack remotes has TV code 1610 on board, or though their newest UEI made remote 15-100 $29 might?

UEI stands for Universal Electronics Inc. The maker's of many cable & sat oem remotes. In addition to the universal brand One-For-All.

You have to understand that the codeset used by Olevia isn't preset into any previous released oem or universal remotes. Only recent ones that are hard to find. For sure any cable remote that only takes 4 digits, won't have this code.