Here is a response I got from the US Coast Guard historian.
"Mr. Lucas,
I am sorry, but we do not have a list of the construction dates of each of the 44-footers. All I can tell you is that they were completed between 7 Jan 1963 and November 1972."
Chris Havern
Historian
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Replying to:
Does anyone have a list of when the U.S. 44's were built?