I was able to map the shares using this method, however I am also unable to access the files in the share. Apparently SUA in Vista doesn't have the User Name Mapping feature and the only way to get this functionality is by having a server present on the network that is running Active Directory.
I was however able to change the permissions on the share, then a single folder and then a single file by giving Owner Group and Other all RWX access. The problem is I have over 6500 files and I am not going to do this individually.
Is there any way to give full access to Owner Group and Other to all files in a share at once? I'm not really concerned with the security implications of this. I just want to be able to access all my files without having to set up another server running User Name Mapping.