As money isn't the issue, why not suggest an eternity ring? An eternity ring is worn with the engagement and wedding set. Truth be told, I've never heard of replacing an engagement ring.
Out of curiosity, what exactly did you say before she said you made her feel like a bad person? Did you tell her she was stupid or selfish....or is she a drama queen when you disagree?
Never regret anything that has happened in your life. It cannot be changed, forgotten or undone. So, take it as a lesson learned and move on.