Wyatt,
Under what yardage do you deem a hole "short" ?
And, from the members or the back tees ?
Many courses have added back tees in recent years, transforming short par 4's to medium to long par 4's.
NGLA only has four (4) short par 4's. #'s 1, 2, 14 and 17.
GCGC also has four (4). #'s 1, 5, 9 and 14.
Oakmont has four (4) #'s 2, 5, 11 and 17.
Newport ?
Maidstone ?
The Creek ?
Piping Rock ?