Another option:
- Create a Character Sheet and enter the information there rather than using a handout.
- Put a 'pin' token on the map.
- Link it to the character sheet.
- Shift-double-click the pin to open the character sheet.
Caveat: From my understanding, having too many of these will slow down load times as Roll20 loads all of the attributes of all characters. Depending on the character sheet, this could result in thousands of unnecessary attributes. (Note: I don't know if it would affect just when you first join the game, or any time you change maps, or what. So it might not matter that much, but if a player is on a slow connection, it could result in a serious performance hit.)