Hello Pat,
It seems that the initial information is not sufficient. Have you tried to modify the EPSG::26737 (NAD27 / Alaska zone 7) according to the parameters that you've got?
'PROJCS["NAD27 / Alaska zone 7 modified",
GEOGCS["NAD27",
DATUM["North American Datum 1927",
SPHEROID["Clarke 1866",6378206.4,294.978698213898,AUTHORITY["EPSG","7008"]],
TOWGS84[0,0,0,0,0,0,0],
AUTHORITY["EPSG","6267"]],
PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],
UNIT["degree",0.01745329251994328,AUTHORITY["EPSG","9102"]],
AUTHORITY["EPSG","4267"]],
PROJECTION["Transverse_Mercator",AUTHORITY["EPSG","9807"]],
PARAMETER["latitude_of_origin",68.064457303],
PARAMETER["central_meridian",-162.834299883],
PARAMETER["scale_factor",1],
PARAMETER["false_easting",586270.569],
PARAMETER["false_northing",142169.282],
UNIT["US survey foot",0.3048006096012192,AUTHORITY["EPSG","9003"]]]'