I would think if you are early enough, and 30 mins before opening for EMH should be, that you will be able to do RSR and get to TSMM before the general park opening.
We did RSR on one of our EMH days but were in the park about 20 mins after opening (it was a 7am EMH), the RSR line was about 45 minutes by then. We still did RSR, but on the other EMH days we went to Paradise Pier and rode TSMM multiple times, I did Screamin' a couple of times, then went to get FPs fir RSR once the park opened to all.