Sean,
the latest version of VISA allows to connect to serial ports of a remote computer where the VISA server is running. However, the last time I've heard of that feature, it was incompatible with RDA e.g. you can't use Remote VISA and RDA simultaneously.
Like Labviewguru wrote, it is quite straightforward to code a remote serial server using TCP port. The server forwards incoming data from TCP connection to serial port and data incoming from serial port to TCP connection.