Classical is a little more complicated, but the same principles apply. You know what passage you want to hear, play it, then go to another album.
Perhaps it would be good if you took better care of your digital media. The error correcting algorithms in many CD players can forgive minor scratches, fingerprints, dust, etc. I don't like the scratch remover devices. They seem to take out big scratches but replace them with a large number of small scratches that the error correction algorithms convince the CD player to ignore. If you do develop some big scratches though, I would urge you to try one of these scratch removers. They don't cost very much.
I always try to treat my equipment and media with respect. We share a fetish for vinyl and obsessive fastidiousness for our LPs. I have extended that to my digital media as well. After all, if I don't take care of my CDs, I won't have "perfect sound forever," eh?