Thank you for joining the community.
Let me share with you that looking into your case I found that your laptop has support for Operating Systems (OS) for Windows® XP up to Windows® Vista, newer versions of OS may not have full drivers support.
Intel® RST, for instance, will need a newer chipset to support its installation. for example: Intel® 200 Series Chipset Family SATA AHCI/RAID Controller, you can review the platforms supported requirements on the following link:
I am working on a similar kind of issue, but with RAID, on a motherboard with the Intel X58 chipset including an ICH10R RAID controller.
I am guessing that when you tried this, you understandably tried the latest release, 126.96.36.1995, or thereabouts. You might instead try an earlier release.
So far, I am having good results with RST version 188.8.131.522. I had been using an earlier release, 184.108.40.2063, but those (apparently) were old enough that the Fall Creators Update replaced them with ones in the 14.x.x.x arena which did not work for me - system instability, crashes, and so on.
I am documenting my travels at:
The discussion at the following link is also interesting, however this person appears to re-package drivers with .INF file modifications, so...