Thanks to unabear09, XGX, and DC for their (positive) comments on the Bose products.

Vince, I'm delighted to find someone else who has the Mission 770s. Aren't they just phenomenal, especially for their age? I used to run it with a 20-watt NAD amplifier and it sounded like a vastly more expensive system.

JMeister, I hear yuh ... I hear yuh. I have heard disappointing Bose products, but the Wave systems seem to have been considered something special by a lot of people in a lot of reviews. (Not everyone, however.)
But what I really appreciate is your mention of the Teac Reference Series unit.
I assume you mean the CR-H227i-B.
I'd never heard of it before and I assume it's very new, so you don't find any ratings on the Net yet.
But it's small, quite powerful, and cheaper than the Bose Wave Radio (I see one offered for $349.00 US on Amazon). Even has an iPod dock.
Best of all, it would let me keep my Mission speakers in operation.
This just might be it.
(Did you know it looks pretty much identical to the NAD C715 Component Music System? I wonder if they share the same manufacturer.)
Anyway, thanks for the mention.