The Paterson doesn't flap but even then there is a problem with capturing all the info in the rebate, namely the film type. There was a thread on this but I forget what it was called.
However the Paterson will still only do 36 frames. There aren't any I know that will do 37. Personally I would sacrifice the 37th for the benefits of a contact printer and this is a big sacrifice for a Scotsman.
However if you need to contact more than 36 frames you could try a clear neg holder which will cover 42 frames(7x6) and simply cover it with glass on top of a piece of sponge. Of course you need bigger than 8x10 paper.
Big sledgehammer to crack a small nut in my opinion.