Humm, when you gave your last explanation I visioned you having the wrong chain for the sprocket? It sounded like you were saying, as you wrap it around the sprocket, the links-spacing gets off. Like you have a #Size T8F or #35 trying to wrap around a #41 sprocket.
If the sprocket isnt warped, and the tire is evenly spaced between the frame you may have recived the wrong chain? Do you have a tractor supply or a impliment co. by you? It may be a good idea to upgrade your chain anyways to a #41 (same as #410 _ 16.00 for 10 ft piece at tractor supply) graucho