I'm not familiar with any. The optical drive makes the base fatter and convertibles tend to be on the slimmer side. The number of people wanting lighter, slimmer laptops, especially when they have a tablet mode, is simply far greater than those who still value an optical drive significantly.
Same thing started to interest me as well.
And to my suprise such laptops do exist.
Check this: Asus Transformer Book Flip TP550LA
All but the screen size should fit your stated requirements.
Prices on ebay start from around 400$.
If anybody is interested on how i found it,
I searched NoteBookCheck.net and chose only two specs: notebook class - convertible and ODD.