I was finally able to get the ST software to recognize my TinySA on several of my computers by manually installing the driver. I wish that I had not changed my list preferences to Digest Mode as I now see that several of my colleagues suggested the same...I guess the struggle to find a solution was a learning experience for me!
I am still puzzled as to why only some of the COM port assignments work for the TinySA app. I am guessing that there are "Ghost COM Ports" on my machines that are creating conflicts. When I have the time I will investigate this possibility.