There are screens made just for short throw projectors
http
/www.projectionscreen.net/advice/choose-right-projection-screen-trouble-free-short-throw-projection/
http
/www.screeninnovations.com/news/general-news/short-throw-projection-the-next-big-thing/
If you are assuming that the short throw projectors will overcome ambient light better than a far throw I am not sure that's the case. A screen that rejects ambient light may be more important. These are usually light to dark grey. Screen Innovations was the first with this type of screen. Other makers offer similar products now.