I have previously created an insert to the Dungeon Mayhem: Monster Madness expansion box that has space for sleeved cards and the token box, and a Token Holder for the character health tokens.

This one combines the two into a trifecta, where you can keep the tokens in a stackable rack that fits into the token box slot of my Monster Madness insert.

These racks keep the tokens and token holders organized and hopefully safer than in the original token box. However, the racks are not travel proof. Also, if you use the top, the tokens in the row below must be perpendicular to the rack, otherwise the top won't fit.