You can move the scratch disk for Photoshop and Illustrator in their preferences, but not for ID. You CAN move the recovery folder, though, and it sounds like you probably should. That's in the prefs under File Handling.
ID wants to write its temporary scratch files in the Temp folder in your user profile. Several users with solid state drives have encountered problems -- most I think had smaller drives than yours -- and at least one tried unsuccessfully to use a Windows environment variable to specify a new location for the temp folder, but ID apparently ignores this. It is possible, but complex, to move your entire user profile off the C: drive, but it's easier to do it when you are first settng up the machine that it is later. There are directions for using a junction (rather than the environment variable) to relocate the temp folder that might work here at http://forums.adobe.com/thread/1007965?start=75&tstart=0 (post # 75), and you would use a junction as well if you want to move all of an existing user profile. See http://forums.adobe.com/message/4708433#4708433 for more information.
I would suspect that if ID has crashed a number of times there may be more than one useless temp file, both in the recovery folder and in the temp folder, that could be deleted to free up space if you are running low on free space. Be careful, though about what you delete in the recovery folder if you actually have a file that needs to be recovered on restart and check the date/time before you delete. You'll probably have to set Windows folder options to Show Hidden and System Files and Folders before you can see recovery folder and perhaps even the temp folder.