Hold both mouse buttons after reboot to go into the early startup menu. See if the hard drive is available and if you can select your boot partition to boot.
If your Blizzard is like the Cyberstorm, then you have to go into the pre-startup Blizzard menu with the ESC key and turn MAPROM off. Blizkick will still use MAPROM, it just won't be turned on at startup. I would recommend getting Remus, Romulus, and the Amikit OS patches and editing your own ROM file. This will allow you to get rid of the reboot during setpatch, which can cause reboot problems, and makes for a cleaner install. You then change the S:startup-sequence SetPatch to SetPatch NOROMUPDATE or something like that.
Hopefully someone with more experience with your hardware setup will have something to add.