Just a shot in the dark here, but does your A1200 have the "timing fixes" ?
Did you have an accelerator before ? Did it work well ?
Is your A1200 a Commodore A1200 or Amiga 1200 from Amiga Technologies ?
You could also check that the edge connectors of both your A1200 & Blizzard are clean. If you have a PCC cleaner try cleaning the edge connectors.