The fact that the plane flys with the nose up does not necessarily mean that it is tail heavy. It more likely means that the alignment of the wing and stab are not properly set on the fuselage. If you changed how the wing mounts to the fuselage (in your case lower the trailing edge of the wing and change the elevator angle of attack the same amount) it will fly with the nose lower. With the exception of a change in total drag, the flight characteristics will remain the same as before the change, just flying with the fuselage more horizontal.