As a drafter, I would transfer it to paper and figure out the cut order, but that's me. I saw this pattern in a quilt show yesterday and it is very pretty. The reason I remember it is coz hubby and I looked at it for a long time. The gal had used some directional fabrics and she did a wonderful job making sure the stripes and patterns were going in the right direction.
So this is a suggestion for you: Don't use directional prints.
I think you can do this. Just follow the sewing order as stated. It's a nice 3-color quilt.