Once, after viewing a SharePoint 2010 document library in Windows Explorer, I ran a net use and saw that Windows 7 had stored the credentials of my SSL-secured SharePoint intranet server. It took a bit of fiddling, but I eventually found you can, in fact, map a secure network drive using the command line:
net use W: \\sharepoint.local@SSL\DavWWWRoot\SiteCollectionName\SiteName /user:domain\username *
If your Site Collection is at the root of the server, you can just use \\sharepoint.local@SSL\DavWWWRoot. If you’re not a fan of the command line, using the Windows GUI is also an option, as demonstrated here. Each of these methods requires a trusted certificate. I’m betting you can use self-signed cert if you just trust yourself as a root.