Could the Rifftrax model work for television shows that are purged of their original music?

Freddie over at L'Hôte raises an issue that I've heard of before, even if I haven't encountered it much:

I have recently fallen deeply in love with the British original series Skins, or at least, the first two seasons. (The show goes through different generations every two seasons, which is an admirable alternative to standard Saved by the Bell bullshit where people are in high school for a decade; I just don't know if I can watch different characters... too attached to the originals.) Anyway, this is a show that really needs the music it has in general, but most importantly, there is a use of a song at the very end of the first season that is so brilliant and unexpected and it's apparently just completely purged from the DVDs. Which is just not right.

He's aware of the bit torrent alternative, but prefers not to pirate. This reminds me of the problem encountered by Mystery Science Theater 3k. That classic parody show got the rights to old terrible films and then brutally mocked them. The trouble was, once the DVD era came out the license rights to old films went way up as suddenly reselling them was more of a possibility. The Rifftrax solution to this was to sell a soundtrack that could accompany a popular film that the viewer would buy separately. Thus it became possible to riff on films whose rights they could never afford, because the end-user was the one that did the combining.

I wonder if this could work with DVDs, particularly ones watched on the computer. The shows could provide an alternate soundtrack, sans music, and if  do some virtual DJing to play the relevant music off of the users computer or a separately purchasable soundtrack if they so desired. They're often songs we own anyways in this age of digital music. I suspect, in practice, we aren't yet to the point where it's really practical. I haven't watched that many films at home of late, but even, to my chagrin, I think I've only done one Rifftrax. However, in the long term, that may be a way to finesse this problem within the law. I think most artists are strongly motivated to have their work disseminated in their preferred form, so even if this isn't a solution that would be widely used, it could meet a need for both the viewer and the artist. Alternately, distribution mechanisms like i-tunes could offer two versions of episodes and do the license management on the seller end. It sounds like paying an extra buck to get the original unbowlderized version would be well worth it in this case.

[Update: In theory at least, electronic media provides a range of options for putting the means of production in the hands of the average person, allowing this sort of craziness. In practice, I think the ease of piracy may end up precluding this as a means of remixing existing content. Even if you're wiling to pay, it's easier to just do the illegal thing than to do it right. However, ultimately, music producers are pricing themselves out of a market here so in theory there should be some sort of deal to be made. Back on the first hand, the recent history of copyright doesn't give me much hope as making reasonable deals hasn't been high on the agenda.]

[Second update: A typo fixed.]