The only drive I have that might fit your requirements is a
Plextor PX-712A which is almost two years old now, so you might have a very difficult time finding one of those.
There's approximately 4-5 mm clearance between disc and drive when the tray is ejected.
Your search probably won't be easy, because most of not all new drives are dsigned to better fit within Small Form Factor (SFF) cases, so the drive casings aren't as deep as they used to be.