I'm not familar with Casper, but as you describe it, it sounds more like an imaging program. A clone is a 1-1 copy from one disk to another. But, I would suggest a clean install. That will align it properly. I don't think a secure erase is necessary. Just in diskpart use the 'clean' command an not the 'clean all' command. There is a good tutorial about it,
Ready hard drive/SSD for a clean install. But, again just use the clean command. The only tool I am aware of that will align an SSD with the OS installed is the $29.95
Paragon Alignment tool. It will do what you need. You could also clone the ssd to another hard drive and use the $19.95
Paragon migrate to clone it back. It will clone the OS and align the SSD correctly. I have it and have used it several times and it does it right every time.
If you don't want to spend the money, a clean install is the best option.