I’ve heard that the Lyr 3 is a great pairing with the LCD2-Classic, and @robmcmyers has an LCD2F paired with the Lyr 3 and MB module. I wonder if he could chime in for you?
I can confirm that the Jot 2, as @Dynamic notes, is a great pairing with the LCD2-Classic. The Jot 2 seems to play well with planars. It might be another all-in-one option to look into.