Are you using the original Amiga PSU? If so, try a different PSU, or better still, adapt an AT (200W-ish) PSU.
Interference from motorbikes aside, it maybe that a.c. is getting through to your mobo - perhaps part of the rectification has broken down in the PSU?
I had this once on one of my A600's. It caused all sorts of weird effects - HD errors, graphical glitches, sound distortion/oscillations, to name but a few. A 'new' AT supply sorted it out.