Yeah a full paddle like a snakes head but you are right the neck to my mind is a bit on the narrow side.
If you do a google for 12 string Tele you will see a Squier that has been converted by fitting another set of tuners at 90^ to the original set, looks horrible to my eyes but I guess it works.
I was just thinking on my feet when I posted but will do a bit more research to see what can be got away with