Never hurts to experiment! That is how we figure stuff out sometimes.
Try an "X" tail, where the tail and rudder intersect at their mid point on the thrust line so that they are equal. May look weird on the ground, but in the air it may be beautiful!! lol You could make temp mods using thin lexan and clear tape.
Also, I know you said this is a common trait in this particular model, But are your servo's, linkages and control horns tight and return to same neutral point everytime? No binding or slop? This is for nubes, please don't take offense!
Good luck, post us with your findings.