I voted for Shoeless Joe enthuistically, and hesitantly for Rose.
There was never any evidence that Jackson did anything wrong, and his play in the 1919 Series belies suggestions otherwise.
He batted .375, made no errors, and threw out a runner at the plate. His twelve hits in the Series was a record that lasted 45 years.
If he was guilty of anything, it was being unschooled.
Rose is a more difficult case. We all know both sides, which have been debated for decades. Any connection to gambling is a disqualification. On the other hand, gambling carries the strong suggestion that a player/manager will somehow perform at a lower than usual level, giving an opponent an advantage. There is nobody that wanted to win anymore, or gave more effort, than Pete Rose...and I never saw anything that suggested that he was anything less than Charlie Hustle.
Rose basically bet on himself. He did nothing that have him...or his opponent...an edge. As such, I dont view Rose as a cheater. In todays game, free agents bet on themselves all the time. My argument is a stretch, I know. I can easily see the other side of the debate.
In other words, I see the Shoeless Joe situation as a travesty. Rose's is truly debatable.
As for the others...including our beloved Manny being Manny...they outright cheated to gain an advantage. This IMO is not like throwing a spitter, which has been part of a game within a game for a century. They are called Performance Enhancing Drugs for a reason.
The argument that everybody was doing it is specious IMO. I used that very argument on several occasions with my parents. It didnt work for me back then, and it doesnt work with me now.
They cheated. They got caught. Too bad. They lose.