Yeah.... 2 things.
1. I cloned a hard drive once... It was the C drive and it had started to be a bit flakey on boot up so I bought a larger one and using the cloning software it came with I did the deed. It took about 15 minutes to clone it and swap the cables. I booted up on the new cloned drive and everything ran perfect with one minor issue. I had to reinstall from disk only one of my programs. Note: this was not a DAW.
2. Install the new drive as a drive other than C and use it to increase storage. You can move the folders on the C drive to it and simply tell the apps where the new folders are located. When you open the apps they won't be able to find the folders and will ask you to search. Do this once and you're done.
Unless the C drive is giving problems, I would let it stay as is..... the old expression about letting sleeping dogs lay...... and ...... if it ain't broke don't try to fix it.... both come to mind here.