I'm making a mess of this post. This bit should have been on my post above ?
The BE2C single seater was not that common. Most were 2 seaters. A 12 Cylinder engine was unusual as most were 8 cylinder. (I'm at limit of any techy knowledge I have!) I suspect theaerodrome.com forum is a good place to enquire about this combination.*
**edit- The BE2C single seater was actually called the BE12. It had the more powerful V12 engine RAF4. Some 600 were produced.
There's agood wiki page here:
https://en.wikipedia.org/wiki/Royal_...Factory_B.E.12
hope those links work ?