It's probably too late, bit have you thought about leaving some cavities with covers that you can fill with little sand bags old used batteries to balance the weight out if needed? The PLA should be strong enough, because you have some geometry on your side, but I worry it might flex a bit. Hopefully it won't impact the final product.
I'm keen to see how this goes, because I might be tempted to do version 2 once i see all the tricks of the build.. I did quarter cut some gum last weekend, but it is only 600mm long so won't quite support a neck and headstock. Dang!
I do have a much larger felled tree down the back of my property that I might needs to see if I can source a long enough piece for this sort of experimental build.
Remember, If nobody tries anything different, nothing will ever change.