Extraction uses the local user and temp folders which is controlled by system variables and the relevant user profile settings in Windows itself. This has nothing to do with Adobe. If your SSD is that small, you probably should have done it a long time ago. No doubt your temp and user folders are clogged up already and contribute to the shortage of space...
I am having the same problem. Windows just expands to take up a lot of space, it seems. My temporary files were deleted by a malware scanner, but there's nothing that I can find that I can get rid of. I hope there's a good solution to this, or I definitely wont be buying a subscription
Just found out from the support team, if you install the Creative Cloud desktop application onto the drive you want the software, it installs to that drive.
My install of Win7 and Adobe Master Collection and MS Office Pro and "misc" files and programs uses just under 80Gig... this is AFTER any temporary space used and released during installs
Buy a Samsung 840 Pro 256G SSD for operating system and software and you should be fine... parts of many (most?) Adobe programs MUST go on the C drive under Windows