You could move it to your HDD but you can however change how much the Data file fills by editing the file named "pref" in the Roaming files
C:\Users\*USERNAME*\AppData\Roaming\Spotify\prefs
But FIRST, Close Spotify go to:
C:\Users\*USERNAME*\AppData\Local\Spotify\Data
and delete all files inside of it. This is that stored data. THEN, go to:
C:\Users\*USERNAME*\AppData\Roaming\Spotify\prefs
Edit it with any program, even wordpad (don't use notepad) and enter this option in at the bottom of the list:
storage.size=*desired amount of megabytes*
Here's mine set for just over 1 gig:
storage.size=1280
Save the file, and then you can reopen Spotify. It will however need to store some kind of cache. But 1gb can be a lot for just music. And the IO can be a lot of extra IO for the SSD. Also epic privacy browser has a youtube download plugin built into the browser for free and I switched to that and have all my favorite albums and playlists saved to my Database.
Essence in the mist, that is the shadow with the grip.