As only a last resort I suppose it would be possible to install a linux in a Virtualization environment hosted by the Windows workstation, ie. Virtualbox- which would then provide a shared storage that the guest would have mounted as an NFS volume.
I imagine it would help considerably to have a seperate network interface for the guest to mount the share through.
In other words:
Install Virtualbox to Windows desktop.
Install TinyCore to Virtualbox.
Configure TinyCore's environment to include a shared storage directory.
Install nfs-common to TinyCore.
Mount desired NFS share from TinyCore.
6a. Either point the Virtualbox share to where TinyCore mounts the NFS share to reach it from the Windows host,
6b. Mount the NFS mount to the directory Virtualbox is providing to the Windows host.
As I said, last resort.