What do you mean by having one computer "outside the router"? DO you mean that the router is a firewall or what? What it would look like to me is that you need to set up a proxy server to act as a gateway to the net.
The proxy should have dual nics, one to go out to your cable modem for the net, and one to go to the rest of your network. Your proxy server can act as your network computer that would host your web server as well as provide net services to all the computers connected behind it.
This approach will solve several problems for you, the first is that it will solve the problems of multiple IPs and technology conflicts. For the purposes of the ISP, your network will only have one computer because that is all that the outside net will see.
Are you familiar with how a proxy network works? If not, email me at wfrazee@hotmail.com and I can help you more. At any rate, when you have a cable modem and multiple PCs it is easier to set up the network this way even though it might mean more complex networking for your other computers.