RE: pitches down, balanced
I'm guessing that this is both a C-of-G and a thrust-line issue. If the model has down thrust, it will require up-elevator trim while in normal flight. When rolled inverted, the dialed-in up-trim is now down-trim & the model will dive inverted, despite having what is now up-thrust. A forward C-of-G, if combined with down thrust, will exacerbate this behaviour.