All of our current sim programs rely on the Barrowman CP estimators, whose validity depends on the assumption that the vehicle is relatively long compared to its diameter. You would need CFD to accurately simulate a shape like this.
If anybody remembers the days of egglofters that had a similar shape, they were notoriously prone to instability and pitch-roll oscillations, so it's not far-fetched that the CP would be well forward of what you would expect.