There is no requirement or mechanic to drop a Hat or a Bean Bag in NFHS.
Rather, The rule says there is a 15 yard IP Foul if he returns.
Commons sense says only throw a flag if his actions affected the play.
Therefore,
Dropping a Bean and then choosing to not throw a flag seems to be adding gale force winds to "non-officials need for extended discussion."
We seem to agree that we may or may not throw a flag. And, Since we agree, then there is no need to throw a Hat or a Bean Bag as you are merely drawing unneeded attention to yourself especially when you choose not to throw the flag.