We returned from WDW Saturday and were in HS everyday (every morning) for almost a week. We rode ROTR a total of 5 times and landed some pretty good BGs. I followed one method from this thread and want to thank those that posted the tips. It may not work for others but they worked very well for us and really eased the stress levels. The method we used was to close the MDE app before going through the entrance gate. Then get through the gate and and be tapped in before 8 am (HS opening time all week for us). Once through the turnstiles we would get in the long line at Starbucks and then restart the MDE, and being careful NOT to touch the Find out More button until it's time to get a BG. It was the most anxious and strange experience each day right at 7:59 and just before the welcome announcements, the loud chatter of thousands of people suddenly gets quiet. I followed someone's post about counting to 3 right at 8:00 then tapping the find out more button on 3 and here's the results:
Day 1; tapped in park at 8:02 and got BG 127, was last group called at 7 pm, ride broke down on us and was given next day fastpass
Day 2: used Fastpass and enjoyed ride 1st time, and also sleeping late for one day
Day 3: tapped in park at 7:28 and got BG 39, actually I got a bit too anxious and pressed find out more right at 8:00, then the Join Group button wasn't active and I had to go back to the main screen then pressed find out more again and then the Join Group button was active, only few seconds back and forth but every second counts on this ordeal
Day 4: tapped in park at 7:32 and got BG 14, a lot less stressful since we rode it twice and didn't think we would get lucky again
Day 5: tapped in park at 7:27 and got BG 12, this surprised us because this worked AGAIN, the ride started 40 minutes late and started at BG 10
Day 6: tapped in park at 7:35 and got BG 12, We were helping people in Starbucks line by this point and everyone around us got good BGs and was thanking us for the tips
Starbucks had an excellent signal for us. And having coffee is one of our morning priorities. We used Verizon data and stayed off the WiFi. We waited in line for coffee rather than do crazy rope drop ride lines. Actually we rode MFSR five times and learned that just before close, the lines get considerably shorter. We rode it twice in one hour on one night. If driving in your car, arrive at parking toll booth 45 minutes before park opening. Traffic builds up considerably around 30 minutes after the hour. Arriving 15 minutes earlier made the biggest difference for us. The best part was getting a good BG, walking around enjoying coffee and listening to all the screams of joy after 8:00.