The only Bose wave radio's I have seen are very small; too close together for any stereo separation .. plus the famous EQ tricks used do not give a good chance for an accurate mix. Maybe there are others out there I haven't seen (?)
As Matt alluded to; likely end up fighting with your mix unless one could really learn the process. I would think it would be difficult.

Agree with filkertom on brands suggested, although I don't consider them 'economy' brands. M-Audio BX series is pretty accurate to my ears. Logitech would be more of an economy solution IMO.

I do not work here, but the benefits are still awesome
Make your sound your own!