"No Usable GPUs" Issue

[Mumps]

Well, one quick little thought is how you installed BOINC. Did you by chance install it as a service so it would automatically start at each boot? If so, that commonly means it won't have access to your GPU's.

Also, with what you posted from GPU-Z, it looks like you don't have OpenCL support installed? That's not necessarily installed with the default version of the driver package that AMD distributes. I'm not familiar enough with what you need extra to get those capabilities installed though. I seem to recall it requires the Dev pack too? Somebody else more familiar with GPU crunching needs to step in here.