High
Yes HPS will get quite hot, no matter what size..I did this a few years back in a apartment..
I went to a builders mart an bought the cheapest inside door I could find that would fit my closet..Then I cut a hole at the top an a hole at the bottom an put control vents in it..You can even incorporate fans into your vents..This way when you move you still got the original door still in good shape..Hope this helps ya out..