I would tend to think that if a model is solid in level flight upright, it should be in level flight inverted also. Perhaps a bit of handle adjustment in in order? I have a model that was similar and once I thought about it a bit and paid attention to how the handle and neutral position felt in upright level flight, I made a tiny adjustment to add a tiny bit more down and that cleared it up. If it's off just a fuzz and you have don't recognize it, you fight the natural "fear" of it going in inverted and you fight it a little bit. In other words, you are more apt to be comfortable with a slight out of trim adjustment upright, but not inverted. If the model hunted in both modes of flight originally, maybe you had a balance issue and a more forward balance point would help. Maybe even a recheck of the alignment of the thrust line and wing /stab alignment. If something is wrong there, a simple elevator adjustment in one direction won't help in the otherbut that would include the inside and outside maneuvers also. I would try a bit a nose weight and see what happens.
Good luck and have fun,
Dan McEntee