Every time baseball honors one of those all-time greatest teams with Rose on it. Every time Rose's name comes up. Induct Pete Rose into the Hall of Fame posthumously. This answer satisfies both Rose's supporters and his detractors. A deal should be made right now that says Rose gains enshrinement into baseball's hallowed Hall after he dies.
Baseball can sign the agreement.
Rose can sign the agreement. Although, it's often pointed out that the Hall is not filled with all admirable and respected people. Drunks, liars, adulterers and cons can be found in Cooperstown. Baseball can forgive them. But baseball can't forgive Rose for committing the sport's biggest sin - he sullied the integrity of the game, violating its most sacred rule.