Painting travel trailer white to reduce heat in summer?

As stated above, our TT is white and gets plenty hot, we are from the Valley of the Sun and I would not under any circumstances do any RVing during the summer in the lower deserts of AZ. Now in the high country like Flagstaff and the White Mountains area of AZ would be fine for summer camping, although RV sites in those areas come at a premium if there are any available.