Sorry that I cannot help you much with your search; however, I can tell you about what I have as it might be a missing piece for you.
First, William Gardapee married into my family tree so I am not researching that family name other than how it pertains directly to William.
Second, what I know....his parents were Ardell Gardapee and Agnes Scharmach. He had at least three brothers - James; David and Dennis. I believe he was born in Michigan and attended high school in or around Manistique, MI. My last address for him would be in Sheboygan County, WI and he worked for Kohler Company.
Well, maybe it helped?