Personally I think you'd be pretty hard pressed to find the guy doing a build needing the doors and willing to spend that kind of money for them......especially if the outer skins are the same between 36 and 37.
1957 Plymouth (Hemi, Dual Quads, A833 4 Speed 9 1/4 w 4.10) Sold 1937 Dodge Pickup (Hemi, 6X2 intake, 46RH, Dana 60 w 4.56) Sold 1968 Plymouth Valiant 2dr sedan (354 HEMI, 46RH w/4.30 gears) under construction