Thanks for your acknowledgement concernig your grandfather's having sailed on the QUEEN MARY.
Your uncle's unit probably sailed from NY P/E on 4-6-44 on a ship which is not listed or identified on my copy of WW II Troop Ship Crossings. The manifast lists the 83rd. Infantry Division. Again, there is no clearcut statement as to whether or not the ship sailed alone or in a convoy.
However, the ship arrived at Liverpool, England on 4-18-42, a journey of 12 days, which suggests that it did travel in convoy. (The solo trips usually took 5-6 days).
The division crossed to Omaha Beach, France on 17 June 44. It went on line 27 June 44, and spent a total of 244 days in combat.
A brief overlay of the division's operations indicates that it attacked toward Periers 4 July 44. St. Eny fell to the division 9 July 44. The division then regrouped along the Ays River 15 July 44, and went back on the attack 26 July 44, crossing the Taute River the same day.
Which leads me to conclude that Herman died between the Ays and Taute Rivers.
From 6-6-44 to 7-1-44, the U.S. and Britain lost right at 62,000 men killed or wounded. From 6-6-44 to 5-7-45, the US lost 3,161 KIA, 11,801 WIA, and 459 who died from their wounds, a casuality rate of 170.2%.
The only campaign your uncle was credited with was Normandy(6-6-44/7-24-44). However, the division was in all of the Northern Europe campaigns, Northern France, Rhineland, Ardennes-Alsace amd Central Europe.
During the time of Herman's participation, the division was under VIII Corps. Major General Robert C. Mahon commanded the 83rd. ID during this period.
By coincidence, July 20, 1944 was the same day that the German generals tried to blow Hitler up by plantng a bomb in a briefcase beneath him in a conference room. He was almost untouched, but several died, some from the blast and some were executed for their involvement in the plot.
I find no reference to the 331st. Infantry Regiment. I can bracket it with the 328th. IR and 333rd IR, but no 331st IR, sorry.
That is about all I can come up with. Sure hope it helps.