I think it would be a good idea to have every 5 or 10 coins collected replenish one sanity. And yui could probably pick up the coins with her toes, or it could be jewelry like toe rings.
I would go with more magical orbs that Yui just absorbs when crossing paths with it
👍ok, also if the Collectibles were coins yui could drop them when she gets caught.
(and maybe some dialogue commenting on it or a unique punishment graphic for it).