I use the 'Intel Data Migration Software' from the Intel site. You can make an Auto start CD to start the computer.
You put in the CD in the CD player press F8 to select the start device. Start form the CD player. After this the copying program starts.
After this you select the source and destination disc or SSD.
Then the copiing starts.
You put in the new SSD in the computer and reboot. ...Ready
If I do this on the ASUS it does not find any SSD or disk.
We do not use RAID. I do not know what AHCI means. In the computer are normal discs or SSD's.