Personally I would hesitate cutting it up much ... I would not want to lose the plaid! Plus in cutting it up, you have the challenge of keeping the lines straight with your seams.]
I really like Peckish's suggestion of putting it on the bias. I would either use it in one piece or as a backing. Or frame up the bias with your solid. The flip side could be a traditionally pieced pattern ... or another favourite large print material that you do not want to cut!