Alright...no one said a thing, so here's my $0.02!
On one hand, my inclination is to tell undergrads to relax, that it's not that big of deal, to worry more about getting into medical school more. HOWEVER...I think back to my undergrad days (uphill both ways in the snow) and I can't help but think how I could have positioned myself better. Now, keep in mind, this is coming from a pre-med/non-business school student's perspective. Some of the things I'm going to mention below I did, and some I didn't.
*Take a couple business classes i.e. accounting, finance etc. Honestly, I don't think you need to be a BBA. This is the time to diversify and do the things you'll never be able to do again.
*INTERNSHIP!!! Work experience is incredibly important, the more you have and the more responsibility you have, the more doors will open.
*Read! Get a grasp of what you want to do with the dual degree. Then, read what others are doing. Gee...why do you think I put all of this stuff on my website???
*Speak with people who are using the two degrees, find out their thoughts/advice. This is also a great way to network
If you have more time than this on your hand either you aren't a real pre-med student or you've got no life and you should reprioritize your life
Just kidding. But hopefully this will stimulate some chatter.