If I can actually get them to go in at night I think it will work just fine since that's how I do the chickens anyways. Now I have to build one!
I recommend using 2x4s or 2x6 pressure treated wood for the base, then 1x1 pressure treated for anything exposed to weather. and regular doug/hemfir for the rest. You'll tank me when you try to move it... I also recommend using metal or plastic roofing material for the sides also to cut down on weight.
Remember, quail don't need a warm place to sleep as long as their water doesn't freeze they are pretty well off.