Is it possible to force windows to create profiles for members of one active directory group in a different folder from members in another active directory group?

The school here uses DeepFreeze to protect public computers. In a nutshell, DeepFreeze prevents all changes to a hard drive such that every time you restart the machine the disk is identical to it was at the time you froze it. This is a bit different than restoring to an image, in that it never really wrote changes to disk in a permanent way in the first place. This has a few advantages over images: faster recover times, and it's easy to thaw the machine for a few minutes to perform maintenance such as windows updates (which can even be automated). DeepFreeze also allows you to configure a "thawspace" partition, where changes are persistent across reboots.

One of the weaknesses of DeepFreeze is that you end up needing to create a new profile every time you log in, unless your profile existed at the time the machine was frozen. And even then, any changes you make to your profile while working on a frozen machine are lost.

As students have frequent legitimate needs to log in to our classroom machines, there is currently a lot of cleanup involved from time to time in removing their old profiles and changes, so I want to extend DeepFreeze to protect our classroom computers as well as public computers. The problem is that faculty have a real need to keep a stateful profile locally on these classroom computers. The solution I would like to use is to configure Windows via group policy (or even manually, if that's the way I'll have to do it) to place profile folders on the thawspace partition, but only for members of the faculty security group.

Is this possible?