I think I understand some of what you're saying.
As far as I know there is no way to copy a playlist to the clipboard in LimeWire.
But.. but.. but ... If you get a Winamp player, it can make a html playlist for you, which you could put on a website.
While in Winamp.. press Ctrl+Alt & G.. it will make a html list of whats showing in the playlist window. You can then save this file and upload it to your website.
Although you would need to have ALL the files you want to show up in this html list, in the playlist window.
It looks really good too
Experiment and let us know how you get on