I support Pete for the Hall of Fame...posthumously. Let him in after he has passed. No acceptance speech, but his on the field accomplishments are honored.
They didn't let Shoeless Joe in after he passed. And, while his career didn't last as long as Pete's, his stats were pretty remarkable themselves.
Good trivia question:
I own the second highest career batting average in the major leagues. Yet, I never won a batting title and I'm not in the Hall of Fame. Who am I?