Suposing that you're using your workstation to develop (you're not deploying directly to the production enviroment, are you?) you can download all modules and dependencies that you need. When you think the stuff is ready for deploy, you can use the module CPAN::Distro Builder to create a tarball with those modules. If you have many modules that needs to be shipped to the production server, then you probably will want to search at CPAN for the various modules that generates a list of dependencies (CPAN::Unwind is a candidate for that).

Other solution is to use the repository that you have at your machine and copy it to the production server. Once there, you just need to setup CPAN to use a file as an URL and points to the repository that you had copied in the filesystem.