Not many bare Blizzards out there!
I'm surprised an A500+ PSU could provide enough power for an '060 /and/ anything else ... some new harddisks that spin at 7200 RPM will cause a severe power pull for the first second or two, as they spin up quick - it wouldn't be an issue with a goliath type PSU ;-)
BTW Does the machine power up ok when you've got no expansions in?