I'm with US Army Doc on this one...there's no need to stress. Meharry's e-mail said June 1 at the earliest, and with that date being so close to the weekend, it is not likely anyone will hear anything realistically until June 5 or 6. Meharry hasn't exactly been the timeliest with communications thus far (at least in my case), so I wouldn't start sweating just yet.
And besides, as several people have pointed out, we've all already done everything we can. Flying in, writing desperate letters, and making desperate phone calls is not going to change anything - and in my opinion, it could be risky to do anything beyond send a simple LOI, because it could be viewed as demonstrating a lack of maturity and patience. Don't get me wrong, I'm not coming down on anyone by any means. All I'm saying is what's the worst case scenario? So you don't get in this year. You do your Master's, do what you need to do to strengthen your app, and reapply. I, for one, am not going to give myself an MI at age 21...we've got our whole lives ahead of us to get into med school.