I'd recommend you check our your state's version of UCC section 4-205.
While your customer may not understand that an endorsement isn't needed to negotiate the check, the UCC makes it perfectly acceptable.
If the revenue department ever disputes the receipt of such a check, the depository bank is on the hook.
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John S. Burnett
BankersOnline.com
Fighting for Compliance since 1976
Bankers' Threads User #8