> I interview well and am quite easy to deal with on an interpersonal level.

This is one thing I would question about your self-assessment. What evidence are you relying on for this statement?

The reason I say this is that, (I believe) research shows that anything beyond the first 30 seconds or so during an interview actually doesn't matter. Obviously this is a statistical thing and may not apply in any given concrete situation, but if you're going to loads of interviews, you probably want to maximize your statistical probability of getting hired.