You can link to anything.oth.net, like yoursite.oth.net or mywebsite.oth.net or whatever, in a frame or a popup, and specify the style sheet url and the content of the body tag. The source of this frame shows how. Try it, do a search.
Some real world examples of this are:
http://www.elsureste.com/mp3.htm
http://dockblue.free.fr/html/ftp.htm
http://www.ultraplayer.com/search/search.asp
http://www.geocities.com/bvrakas/EZMusic/ezmusic7.0.htm
http://www.algonet.se/~repman/hemling/mp3search/ - this one uses frames like in this example, you have to click the button though, hitting enter doesnt seem to work.
I don't see any examples using their own CSS.
email qcsc at oth.net with any questions