I have a 33 Ford with a 53 engine, It makes that chirping sound that you speak of. It doesn't do it all the time, so I ignore it . I have searched for the cause but to no avail. I suggest louder exhaust?:)
Have newly restored 33 Ford Tudor, has 52 8cm 276 cubes Isky cam 4brl. 39 trans, 354 rear. Hd. brakes, LB. Int. Washington Blue with Black fenders. I would like to trade for nice 56 Ford .