What time does DHS open that morning and how early will you get there?
Let's assume it opens at 9 without EMH or EMM....if you are there in line at tapstiles by 8:25 or so, I think you will be close enough to the front of the line that you could be done with JTA sign ups by 9:10/9:15am. Then if you walk briskly - it's a 20 minute walk to Epcot - followed by another 20 minutes to The Seas...I think you could meet them if you put the effort in!