Try these websites listed for Canadian Maritime Records and Archives.
http://www.cyndislist.com/ships/libraries/A LDS Family History Center maybe able to help you.
https://familysearch.org/Ancestry has names indexed for ships passengers and crews. Doing a search of Mike (Exact, Similar, Sounds Like and Initials) and Mich*elson (Exact) and "All Collections", there is 192 results. Doing a quick scan most are too early of records or not correct name. A couple look promising but they are Canadian and British Ports and I only have US Ancestry, not World. But one is a US Port... a ship named "Pacific Northwest" with a British crew that arrived Feb 26, 1956 in Seattle, Washington. There is a Michael Michaelson age 21, was an Asst Steward. Reported to ship 12/22/1955 at M/CR (could be Manchester, UK according to internet search) continued with ship after Seattle. Claimed British Nationality, has what I think is a passport number or merchant seaman Serial Number-R208625. If your bio dad was born about 1935 making him about 36 years old in 1971 then this might be a match.
Good Luck