Is it too late to redirect an AC duct? You could put a duct over or close to the door. That way when the ac kicks on you get a healthy dose of circulation. You can also adjust the vents through out the house. For instance, the vents going to my bathrooms are open only 1/3 of the way. In the kitchen in dining room they are 1/2 open. They are all the way open in the bedrooms and the living room.
Try adjusting the louvers and then look at the hi/lo in the walk in a few days later. I bet you could lower the hi/low by a couple degrees going this route. Next look at your heat sources in the room. Make sure your window is sealed up tight. Also you need to have the blinds closed from the middle of the day onward. Solar film on the window is a great idea for the whole house as it reflects a good portion of energy. Other heat sources include incandescent lights, computers, monitors, stereo equipment. Make usre to turn all that stuff off when not in use. If you work a lot in the room, you can get small flourescent fixutres that look like regular lighting. With a little monitoring and some tweaking, and the solar film, I bet you could drop the hi/low by 5 degrees with out too much money or hassle. I would try any of these before adjusting the thermostat.
One more thing. Is the house completely empty? If so, the temperature should come down when you move stuff in. Once the house is full, there is less volume of air making it easier for the A/C unit to keep the house cool.
Emo