There are a handful of folks in the social ice dance community who have put a ton of work into preparing a lot of new music for ice dance...
As far as music distribution, though, it's a tough matter. They can't sell the music. I'm not even sure what laws really surround distributing it at all, given that they don't own it.
I suspect the laws are mostly pretty clear. Without permission or license from the copyright owners (both the composers, and the performers) you can't sell it, give copies to other people (for the most part), nor can you play it in a public performance, such as at during a rink session.
But ISI and USFSA have contracts through ASCAP (and maybe some of the other licensing arbiters) that let you play some of the ASCAP licensed music in certain contexts, and there are some limitations.
Rinks can get licenses too. But money still has to be payed to the copyright owners.
If you wanted to resell your modified music, you might look into sources of "royalty free music", though you may not always find the best performers there. Or talk to ASCAP and/or the artists, to acquire legit rights to distribute the music.
The truth is, people don't like the music partly because they hear it so much. Some of it really wouldn't be bad if you didn't keep hearing it.
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Many (most?) figure skating clubs have someone who functions as a "test chair", and maybe someone else as a "competition chair". Perhaps those of you who have an interest in alternative music could ask those people whether or not their club would let you substitute alternative music? I'd be curious whether most of them would say yes...
If people provide music for their own tests or competition performances, the obvious problem is that the judges or others would theoretically have to spend extra time to test the music to verify that the tempo is correct and is strictly kept throughout. Remember, these people are volunteers!
Another issue for you personally: If you practice to music that doesn't keep an exact strict rhythm (most music does not), you may learn to move with the rhythm of the music, rather than the desired strict rhythm, and that might affect your test or competition results.
BTW, it's already the case that there can be time delays between what you hear and what the judges hear, due to the finite speed of sound, about 1100 feet/second = about 340 meters/second, which may cause you to speed up and slow down as you move around the rink. For the fastest ice dance music (we had another thread on this years ago), you could literally be off in what you hear by a couple beats in extreme cases from what the judges hear, in the worst case that there is just one speaker at ground level near the judge's stand. (We had another thread on that topic years ago.)