When I tried to "map network drive" I'd go to Computer->Map Network Drive, select Z as the drive name, hit "Browse" and I wouldn't see the NAS as an option to open and look at the shares. Just tried it again and now I saw the Shares, opened, clicked the "media" folder and was able to map the drive. I was just trying to post the error message I was getting, don't know why it didn't work before or why it does now, but I think I'll leave it at that for now.
Thanks for the response!
Edit: We're going to chalk it up to dumb luck that I've got it running, the more I poke around the less sense everything makes. I was able to map the drive as I described above on my laptop. Went downstairs and tried on the media computer (where JRiver resides) and still didn't have the NAS as an option when I browsed after I selected the drive letter during the Map Network Drive process. Only reason I can access the files on the NAS on the media computer is I downloaded Netgear's ReadyNAS Remote program, which must have been created for network illiterate people like myself.