Can you zip up the minidump files in the C:\Windows\Minidump folder and make available (provide link) via a public folder on OneDrive or similar site?
Here's a couple of links on using OneDrive (SkyDrive):
http://windows.microsoft.com/en-ca/skydrive/add-photos-files-faq
http://windows.microsoft.com/en-ca/onedrive/share-file-folder
If you have problems zipping the minidump files copy the minidump files to another location such as a folder on the Desktop
Also, you do not necessarily have to zip up the minidump files, you can upload them one at a time