That's going to be heavy--
Maybe that is OK for what you are doing, but it could also be bad.
Also, unless you have some VERY good plywood (no voids), you are probably going to end up exposing some cracks, holes, splits, and other goodies. Nothing that can't be fixed with some filler or spackle, just one more step in your process (versus simply buying a premade).
Note that plywood can often have weak bonds between plies. In a normal uses of full plywood sheets this seldom makes any difference. In your case, one badly located de-bond spot can separate the front of your NC from the rear. Bad news if this happens in-flight. You would be wise to drill the centers of your ply stack and bolt a piece of all-thread front-n-rear (or at least glue in a good wooden dowel through all stacked pieces).
You should check in with TRF's own 'Sandman' for any custom NC needs. He can make you one from balsa, basswood, and many softwoods and hardwoods. His prices are very reasonable, he is *fast*, and his service is excellent. (Gordon, do I get a discount on my next order now?)