Stan, I moved the speaker way away, and had the receiver and MP3 module 6" from each other. I also shielded the MP3 module totally with a little tinfoil box, trying grounding the shield to a variety of places, negative, earth ground, etc. No joy with anything I tried, the range didn't change much, if at all. I think I've expended about all the effort on getting that RF solution to work.
While the TMCC solution isn't for everyone, part of this exercise is for a solution that I can use. Being somewhat selfish, I'd like something that can work for me. If a different module works better (I have several more coming), I may revisit the RF solution.