There are a few different avenues you can take:
1. Use OSX and obtain chilisoft's chili ASP for *nix.
or
2. Use Virtual PC and use Win98 SE/PWS
or
3. Network your PeeCee and Mac and use VNC to control your PeeCee from your Mac while. I do this sometimes.
or
4. Network your PeeCee and Mac and FTP the ASP pages to your PeeCee's web directory and execute ASP pages that way. - This is what I do so that I can use my Mac as much as possible. I've written some simple ASP scripts to poke into M$ Access database schemas and everything else so I can just shut off my PeeCee monitor and use it that way.
5. Dump ASP and start using PHP in OSX. I'm an ASP developer and I prefer PHP because it is so much more powerful.