Normally when serving a member, you would use Tool #31 Reverse Tran/Adjust Drawer (Same Day) to reverse the transaction and correct the drawer, then run the check through properly via in-house checks.  But when serving non-members, this tool doesn't work as there isn't a member transaction to reverse.  But you do need to correct the teller drawer to remove that item so it can be run through again properly without causing an out-of-balance condition in the drawer.

Therefore, you will need to use Tool #120 Adjust Teller Drawer/Audit Keys to delete the audit key for that particular check item. Then the teller can go back in to Teller Non-member Services and run it properly as an in-house check. This technique should ensure your teller will still be in balance at the end of the day.