It is worth the time to figure out how to get your computer's sound into your home speakers.
Indeed. To be sure, the digital age has brought many great advantages to the audiophile's lifestyle, but every one of those advantages is nullified without a way to listen to your music through a quality sound system. Maybe someday, the manufacturers of digital sound systems will provide something worth buying, but they sure haven't done it yet (at least not that I've seen). The tiny, treble-dominated speakers that come with all these systems simply can't produce a quality, dynamic sound. Adding a subwoofer helps somewhat, but the absence of sound adjustment controls leaves the listener with a single setting that works OK for some recordings but absolutely sucks for others. I have yet to be satisfied with the range and quality of sound from a digital speaker system.
I recently bought something that would solve your FM radio problem, Sg, but I think you'd probably find some of the same shortcomings I have found in its performance. The device in question was a DVD home theater system that I got at Costco for about $150, if memory serves. I bought it primarily as a replacement for a broken DVD player, but I was interested in the additional features it offered as well, including an iPod input and FM radio. The sound is great for TV and movies, but it leaves a lot to be desired in the music department, mostly because there is no way to adjust the frequency levels. That said, it does provide at least something of an FM radio solution.
The suggestion of adapting a streaming signal to your home stereo is probably the best option.