As already stated usually "rare" and easy to grow and fast growing don't go in the same sentence. It's worth a shot at asking but honestly you won't find all those in a single coral.
I've found Green Slimer, Montipora Capricornis, and some Green Birds Nest to be slightly more hardy than most of the other SPS and all of those CAN have good growth. Just remember coral growth and color go hand in hand with water chemistry just as much as lighting (if not more so than lighting).