Well I don't know how much knowledge you have on lilies but generally asiatic are the first to bloom followed by trumpets, oriental-trumpets or OT's, and finally the orientals. Asiatics generally don't have much smell. Trumpets and OT(also called Orienpets) have good fragrance. I suggest you look for something in the OT realm. Generally they have fragrant flowers and should bloom between your early bloomers and your orientals.