Hmm, the good thing with torrents is that you need to "upload" it one time and then it goes on and lives its life, but you still need to upload, so that's not necessary actually for this case.
So can you upload the 10GB directly ? Or in multiple pieces ? I know you can just throw it on mega.nz for example, share the link, and never look back. How you want.
I don't have any HDD to spare unfortunately : p