Fuel Pump ?
There is a technical service bulletin for a fuel pump problem. Suggest you look at that. It may however, not be your problem as it relates to hesitation or stalling only After A Long Cruise.
My car did have this problem as stated in the TSB, but I never got a code or fail safe when this did happen. It happened only after many miles of feeway driving..like 200 or more miles of steady driving.
You also may have a code which registered since car went in to fail safe mode temporarily. Dealer scanner could retrieve that code.
You could simply have bad fuel or water in the fuel since you say low tank level or high rpm seems to make the condition worse.