My brother lives in Hawaii near Hilo and a while back, I asked him if he could hear KSFO, KFI, or KNBR at the beach there during the day.
He got the chance to go to one of the beaches on the south side of the big island. He listened and said he couldn't hear anything.
He was using a Grundig G5 but no loop was involved. I don't know how big the internal ferrite antenna of that radio is but I wonder if using a radio like my Sangean PR-D5 (which has a 200 mm ferrite antenna) and the Terk AM Loop that I also use would have made a difference.
Once you get past 600 miles or so, the groundwave starts to fall off really fast no matter what the inverse field is, or the conductivity. Many times when people think they have groundwave at very large distances, it's actually daytime skywave.
I doubt that's the case in June in Bermuda where WQAM and other Miami stations are heard midday. That's 1040 miles.
I've heard cd's recordings of the big New York stations from there too and they had good listenable signals at 775 miles.