I don't like the idea of using the loopback interface for this purpose. If you expect to route around the network, you're going to have to use routable IPs, like those assigned by your DHCP server. If there aren't any other boxes, no problems.
By easily, I mean through the use of hostnames, not IPs. You couldn't tell another computer in your network to talk to "Alpha" without giving it another IP address, cuzz routing to 127.0.0.1 on any other computer would result in the computer routing to itself through the loopback interface.
IMHO, I would still go with adding the dynamically assigned IP to the /etc/hosts file and copy that around to the other boxes (if any)... this way all boxes can be reached easily through the use of hostnames and you wouldn't have to remember IPs.
Of course, if you don't mind typing in the IP (which, depending on what programs are used for FTP, telnet, SSH, etc, might not be a problem), then you could do it the way David suggested and I'm just a big blowhard.
Have fun!