I believe that this would be a headache and troublesome for Everything to host. There are several low-cost hosting sites out there, some of which do offer CGI access. Sometimes this even includes a shell account. I believe these hosting services are a better mechanism for providing this service than Everything Development would be.
I would offer a variation on what AgentM said and suggest that you list on your home node links to the offsite pages you have designed to demonstrate your coding ability. This way, those of us here at perlmonks that are interested in looking at you code would be able to, while maintaining the targeted purpose for perlmonks.
Currently, I use IO.com which is $10/month, $100/yr. for telnet access which includes full CGI, including mysql access. This basic account includes 10 megs of storage and a reasonable file transfer quota. For an extra $4/mth, you can get the works, which bumps you up to 50 meg quota, anonymous FTP, etc. This was not meant as an advertisement for IO.com, just offering a solution for running CGI scripts when you can't run a server at home.