How to save to a "virtual local drive" and have the data streamed to a remote drive? [closed]

Networking is the way to go here. Share a folder on the destination computer, mount it on the source computer and have the program write to it.

These 2 computers are not on the same local network or active directory or anything like that. They are totally separate, but on the Internet, behind firewalls.

There are lots of way to bypass this, from opening ports in the firewalls to setting up a VPN.