Eclipse normally needs files to be in a project, but if you are able to map the network drive, you can add the remote folder into a project as a linked resource, then it can be modified as if it is on the local machine (except for additional latency).
To maintain portability, you can specify a path variable for the remote file system and define a relative path from that variable. See this answer for details of setting up linked resources.
If mapping the drive is not an option, there is the Remote System Explorer architecture. I've not used it myself so I can't say how well it works, but this blog describes how to use RSE to browse remote files.