And no I'm not talking about the sound track itself.

The game has some background music loops that are non-lyrical versions of other songs. Anyway to rip them without having access to a PS2 or blah blah blah audio recording equipment?

Or anyone have any rips/streams themselves on this site because searching SSX On Tour has no positive results on here.

This is where you can request stuff. (http://forums.ffshrine.org/video-game-music-requests/)
Anyways I ripped these tracks some time ago and can offer them right now. The only thing that may cause trouble is that I store my own VGM collection in OGG q4 so that you may find the quality poor but if it doesn`t bug you I can simply upload my rip (maybe with stingers if you`re interested in them) and post the link here. And after all no one prevents you from downloading a PS2 ISO and ripping them yourself, I can help you in that since this rip isn`t very hard.