Well, just in case winterlights here is wrong...I'll give the OP the benefit of the doubt!
I have a different perspective. My undergrad offers a very regimented committee letter to all the premeds. For this reason, I had to get all the LOR's to them, my resume, a copy of my PS, and then I had to go and schedule an interview with a professor, which lasted over an hour (which meant flying across the country to my campus). It was a huge pain, especially considering how long the process was. We only had a couple of weeks' window to get all the LORs in, which made it impossible for me to get a couple of doctors to write me a letter in time. The first draft of that PS was written on the plane ride to school- so that wasn't all that great either. In general, it was all kind of rushed, and still, I'll be lucky if they send that letter out before august, just cause of how long it takes to get everything together and written and stuff. I'd MUCH rather have sent out individual LOR's, then I could have been choosier (i.e. picked the best recommenders as opposed to the ones that just got the letters out fastest) and more in control of the process. Right now, I'm arguing with them about seeing if I can get another couple of letters added to the packet and they're being total pains.
So, trust me, you might actually be at an advantage.