That's a really serious list of restrictions. You will have many problems finding one in this range. First off many lilies that aren't dwarf lilies will grow to 3 plus feet easily. Many asiatics that would bloom are not fragrant. Secondly that is right in the trumpet blooming time, which are fragrant and outfacing but you don't want trumpets. You would most likely be looking for a white oriental but based on your location they will not be in bloom at that time. I would recommend an Oriental-trumpet hybrid that is very white, fragrant, and has a little pink on the reverse but it would probably bloom a week late and grows about 3-4 feet tall. It's called Zambesi.
