Historical map for Allen (1980):
Allen went through the Antilles a bit further south and was a bit stronger at the time, but then jogged to the right and went just north of Jamaica.
I was living in Houston at the time. Thank God that monster veered a bit left at the last minute and stalled out for a short while, weakened, and then went inland over the King Ranch.
The track is quite similar thus far especially if extrapolated based on NHC future guidance. High pressure in the vicinity of the SE could certainly keep this very far south in the U.S. or northern Mexico but I wouldn’t be so sure just yet. Many times systems in the GOM tend to bend more than expected.