hi,
i had the same issues with my 6870's
try going to start -> run -> cmd.exe and typing the following (should say value saved)
setx GPU_MAX_ALLOC_PERCENT 100
setx GPU_USE_SYNC_OBJECTS 1
solved all my issues with what your getting right now
if still a few hardware errors are thrown up, try adjusting intensity manually between 10-19 and seeing if theres a sweet spot (mine was around 17)
best of luck
Like I said before, adjusting the intensity and doing the 'setx' commands did not work.