I'm so sorry OP that you had rotten luck. We were there from 6/28-7/2 and had very good luck with the EMH. We didn't know that any off site guests (who get 1 day of EMH) couldn't go to DCA for the extra hour, so that was a bonus to us! On 6/29 we walked right back to RSR, then did Tower, and then Soarin all before opening at 8. On 7/1, we went right to Soarin, did Tower twice back to back, and then took our time walking over to RSR to grab FPs for later in the morning. On our first DL day, it was disappointing that the Matterhorn was down, but it gave us an opportunity to do Hyperspace Mountain (which I didn't care for!) and Peter Pan. On another of our DL EMH days, we were able to do Peter Pan, Mr. Toad, Snow White, Pinocchio, Alice in Wonderland, Dumbo, and the Carousel all before the park opened at 8, which we then walked over to Pirates and the Haunted Mansion.
Hope you have better luck next time if you try it again!