??? only appears on the first & second nights at midnight. If you're on the final night that's likely why you're getting kicked out of the inn. If you are in fact on the first or second night, then try waiting until about 10:30 or 11:00 and use the nearby deku flower outside to get up to the 2nd floor, and enter the inn that way. They close at ... well I dunno for sure but I think at 10:00, so sneaking into the inn up there after they're closed prevents them from knowing you're inside, therefore they won't throw you out after business hours.
Of course if you get the room reservation from Anju on the first day, it's all a moot point as you don't get thrown out at close since you're a guest.