That sounds infuriating.

3 hours of travel time, plus 20 minutes for hotel check-in, plus 15 minutes for checkout, plus 15 minutes for waiting for the shuttle x 2, plus 10 minutes of walking to the bus stop, and that's 4:15 before you even hit the pillow.

That would put you at 5:15 AM, 45 minutes before the plane departs. Delta recommends you be at the airport at least 2 hours before the plane departs. So by their own recommendations, there is no way this could work, even assuming you didn't even head up to the room.