Isn't a CJO a conditional offer? How can you do income verification on something that is conditional?
Remember, the underwriters may not distinguish between a CJO from American (pretty dang likely you'll be getting a class date given their level of retirements and overall size) and a much smaller airline (who knows what can happen if economy bumps etc).
Keep us posted if you successfully get underwritten with just a CJO with a conforming or jumbo.