yea, i mean, it is kinda random, but they are use to that. Plus, I am sure they are getting a bunch of letters from everyone. I sent cover letters, resumes, and grade sheets when I did the process. Wasnt aware that cincinati is still hiring. That is a plus for you. Id still get them out soon.
the whole process is annoying as it is so random and you really dont know if people are interested at all in having you apply even.
I tried emailing a bunch of my application packets in, because i found it was cheaper, and a lot easier then having to fill out envelopes. If you do send to the smaller mid size firms and chose not to do it through resume drop (ive had no luck with resume drop), that is something to consider.
good luck though, hope you get a great job.