According to the Consortium, their application should be open by Jan 15.
Also, I completely understand your concern. I was in a similar position after I got back from the Dominican when I applied last year. What you can do is have your letter writer submit it to interfolio, a website that allows you to upload letters electronically. You do have to pay a fee to send the letter, however, in my experience this is the better option because you can keep the letter in case you lose contact with your letter writer and use it when you apply to medical school later on. I would highly recommend that if you pursue this method that you ensure your writer puts the letterhead with the LOR. Hopefully this is helpful, good luck!