Is There A Way To Delete Files As They Are Being Extracted With 7-zip?
Solution 1:
It's a bit of a stretch, but according to the 7-zip forum, you could temporarily change the temp folder to an external drive, although the message thread suggests that it won't work.
A bit more research shows that the program doesn't use a temp folder if you are specifying a destination folder. Drag and drop apparently does use a temp folder.
An easier way to approach this might be to use a high capacity flash drive to hold the zip file and extract it to your destination. A sufficiently high capacity drive (128 GB) may allow you to contain both the zip file and allow you to extract it to the flash drive.