Not safe Re:H1 first, then AP.
1. 我们还是希望用我的H签证回美,这样能保住我的独立身份。但不知风险有多大?
Try to get H1 visa first. If denied, use AP.
It's risky to go this way according to my lawyer. If you could not get your H visa, either denied or got a security check, some evidence will be left on your passport. You could get some trouble to enter the states at the US custom.