Hmmm, approaching issue from another direction
Streaming PC is on your 'home' network, right?
have you consider remoting into the Streaming PC from inside the house? RDP, VNC, or other?
I've read there are some things you can't do normally with RDP, not sure if it would impact you.. you'd need to test or do a little research in this forum on RDP impact/caveats
Alternatively, there are a number of KVM-over-Ethernet solutions that effectively let you have the Keyboard, Mouse, and Video Monitor in one place, and the computer someplace else (with a wired connection between them)
Or, if your PC and monitor are DisplayPort, and the right setup, you could (I think) get a long DisplayPort cable and route USB over that for keyboard and mouse).. .assuming direct cable run is an option.. similar consideration as with Ethernet, only Ethernet distances are much longer and cable price much less (though after KVM adapters on either end, not necessarily cheaper overall)
- I think I'm recalling that such is possible, though not a default capability. I haven't researched in details what it would take to have DP video signal and USB data on same DP cable, for this type of solution.
Also, the scene collection export is a text file. *IF* careful, attentive to details, etc... you can hand edit that file (ie text editor)