QB in my view would be a shootout between Hixson, Meredith and Livingston (remember he was the Cotton Bowl QB in the 60's).
TE Oscar Roan was an All-American, I agree with Stallion.
WR What about Miracle Man Bobby Leach. He wasn't the best in numbers but he was clutch.
Perhaps you could have a category for kick-off and punt returners that would add Rote, Arthur Wittington and Leach to the list.
OL - Ray Schoenke - played like 15 years in NFL and I assume was pretty good blocking for Meredith.
For Punter I'd name Craig James since I he didn't make it at running back.
Too bad we don't know much about those 1930's teams. The linemen on those teams went toe to toe with the likes of the Fordham Seven Blocks of Granite and had leather helmets with no face masks.