I would suggest listing the records the player has attained on their hall of fame resume. Right now a voter would have to do a significant amount of research to find out if a eligibly player has set any marks. If a player set the single season record for batting average with a mark of .440, regardless of what his career average is, I would vote him in.
I would like to see if the player is in the top 5 of any record and what that is. It would change people's voting a significant amount if they discovered someone is #1 all time in HRs in a single season, as they wouldn't have known that before.