I don't think you can, unless you have *lots* of fabric. One basic step in diagonal pieced backings is - you cut the diagonal and then slide one half up (or down) to gain the width. This will automatically offset any cross-pieces in your backing. I think the only way to get the effect you wanted would have been to cut the check fabric on the angle. Place the other fabrics, and carefully measure where to put the orange on each half of the check. Then sew all the bits together. It probably still wouldn't be perfect, but you could get close.
In the future - I'd go with just one direction of diagonals. Then you won't have this problem.