First of all, you won't be able to attend classes on H4 anyway, so forget about this idea.
No, there is no way to speed up the process. You shouldn't have waited till end of July to go to the interview. I've heard that administrative processing usually takes no more than 3-4 weeks, so you might still get there before classes start.
If I were you, I would contact the university and inform them about your situation, because it is very likely that you won't be in time for orientation sessions, class registration deadlines or whatever. They would tell you how to deal with these problems.
And think about plane tickets as well.