You cant compare HID lights to CFLs, they put out 5-10x more lumens per square foot, which means bigger, thicker, denser buds. I would go with HID lights, HPS is what I would use personally, they are more efficient then mercury vapor. Also the box seems rather short, if your building something you might want to consider building it at least 6 feet, 5 if your tight on space. You will find that it the long run when you start flowering and the plants keep getting taller you will wish you had the extra foot or two. Also dont forget you will want a nice space above the plant for all that warm humid air to go before it gets taken out by your exhaust fan. HID lights usually provide a nice area seeing that they usually hang down, but they also do make more heat and require at least an extra fan blowing towards the light.
Anyways good luck with the box, just make sure you think it all through before making a final plan. Maybe even something that could raise up, or be adjusted easily in the future.