Well, a Seagull 1963 meets
all your criteria.
Finding a vintage chronograph with an exhibition caseback sounds awfully difficult. There are some pretty obvious modern ones: Speedmaster, Zenith, Breitling, etc. Are you looking for something a little less known?
Edited to add: That wasn't meant to disparage Seagull. I own a Seagull 1963 and love it.
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