Update on my progress
I completely repartitioned and reformatted the RunCore 128GB SSD in my Macbook Air Rev B. I reinstalled Snow Leopard from scratch. I got the latest updates from Apple. I checked the permissions with the Disk Utility. If I rebooted every day or so I never had any problems, however if I just closed the laptop (like I used to with the HD from Apple), it would freeze every couple of days.
I completely repartitioned and reformatted the drive through the Windows 7 installer (not bootcamp, I just booted the drive from the Windows 7 DVD and let it repartition and reformat the drive so it is now a PC with a glowing apple on the back of the lid). Windows 7 has been running very well, no hangs at all for about a week now. There were a couple of issues with Windows 7 (the driver for the keyboard and trackpad makes them VERY sensitive, so it would often go to sleep as I closed the lid and then immediately wake up again. After some research, it turned out the keyboard and/or the trackpad were sensing contact and waking it up. I disabled their ability to wake the computer from sleep and that has fixed it).
I'm kind of torn on this. Obviously, I bought a Mac and I can't use it as a Mac with the Runcore drive. I spent more than two weeks researching the problem, so I probably can't return the drive now anyway. On the other hand, it's lightning fast with the SSD and Windows 7 isn't so bad. This is also a second computer (most people with Macbook Airs probably aren't using them as their primary) so I mostly use it for web surfing and a little photo work when travelling. Windows 7 is OK for me, and the SSD runs great in Windows.