A couple more things about my new Wi-Fi radio setup. As was pointed out to me by tastewar, one of the features of the Logitech Squeezebox server is it can remotely control a Squeezebox client.
The Web interface works for both the Squeezebox Radio and the Chumby One, which unfortunately doesn’t have its own Squeezebox UI. Needing a full-blown computer to control the Chumby makes Squeezebox support almost useless; however, I was pleased to discover that the Squeezebox Radio itself can control the Chumby. I would much prefer the Chumby having a Squeezebox control panel like the excellent interface it has for Pandora, but for now having one radio control another is a workable solution.