TOPIC:

Hi, 

Device C: has 9.41 GB free space
Device F: has 287 GB free space
......................................................
Could I install CT on device F: ?

No, this NOT possible, Sir

In this case I need to reconfigure my SSD using some software. 
I need to increase partition C and decrease partition F. 

CodeTyphon it's a TERRA programming Studio.
Portability it's NOT in our Scope.
 

Not pretty, but maybe a solution:

1)
Try to create a hard link "c:/codetyon -->  f:/<path>/codetyphon"

2)
Why you do not mount your 2nd HDD (F:) as a mounted folder in c:/codetyphon too to F: ?

3) Try to edit the InstallInstallation script(s) to your needs. 

For 2nd: Remember that, that the mounting folder in thus case will be the "codetyphon root dir".
You could change your Partitionlayout to free some space to create an  own Partition with enough space and mount this to the folder.