The OS and drivers are not 119GB.
You are correct that apps will install on C even if the installer is saved on another drive. That's been true for years. We have to pay attention during the install to see if any option to save elsewhere is possible.
Why not just make your boot drive the big drive?
Bob
I have a 128 gb sad with my boot drive (and some drivers on it) it's at 119 gb full... I also have another internal hard drive 2 tb for applications and downloads. But my question is every time I execute a program (winrar. Application installs. Etc) it take up space on my ssd even tho I specifically save the application to my hard drive... How do I free up space on my ssd without deleting crucial boot/system data? My ssd is not a Intel so I cannot use Intel's data migration application. Also I don't want to install a 3rd party data migration tool because I don't have the money to buy a bigger ssd at this moment in time.

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic