The LGS had quite a number of cleaning rods on the shelf. The clerk even tried to help out by opening 3 different boxes, measuring the rods, but never found what I needed. So I headed toward the door knowing I'd be searching the web again.
Well, the clerk hollered over at me before I got out, and said he had forgotten about an endcap that had more rods to look at. He actually had in his hand the one brand I remembered Clovishound talked about in the first thread I posted:
So this afternoon I cleaned my 22/45 with a 12'" Pro-Shot Stainless Steel .22 Cal & Up pistol rod. It is the perfect tool and fit for my cleaning need, and almost hard to believe I "bumped into it" at an LGS. Glad I remembered your suggestion, Clovishound. Thanks.
A good range day and a good and easy cleaning of my firearm.
Icing on the cake.