I have managed to get the above working with no issues at all. Installed from disk via PlayOnLinux (available in Synaptic in Mint). Then copied over my patched (GWX, etc) version from my Windows installation, along with the data files from "My Documents", etc.
Works a treat: it means (on my dual-monitor setup) that I can have browsers and so on on my second desktop and no longer have to reboot into Windows.
Celebrating with a Glayva, or Drambuie, whichever comes to hand first.