OK here I be. I believe the 2nd round is the best time to find a punter, as nobody is taking them at this point so the pickings are ripe. I select
Jim Thorpe (RB/K/P/League President/Pentathlon/Decathlon/Outfield)
Since we mentioned GOAT athletes, here's one. He played pro football, baseball, and basketball and pondered playing pro hockey. The first time he tried football he wandered into Pop Warner's practice and promptly abused his entire defense to run for touchdowns twice. Most couldn't even lay a hand on him; those who did got bowled over.
He has two Olympic gold medals in Track and Field. He never practiced, so who knows what his actual peak might have been in any of his sports had he just devoted himself to one trade and worked at it. Also if he wasn't alcoholic; that would have helped. He dominated football with raw speed, strength, and skill. He excelled at every sport he touched, naturally.
I would make him a RB, but his peak came before he helped found the NFL and the game was radically different. He was a force, but most of his domination was via his kicking game, which was how things worked then. He once had a 95-yard punt. Also his attitudes toward practice make me wary of trying to pair him with guys running complex offenses, so punter it is.
@Young Sandwich