I have no problem writing an unsolicted cover letter. My question was more along the lines of whether this is even effective. With no connections inside the firm, won't my letter and resume just become lost in the shuffle (regardless of my ranking)?
I'm curious: Does anyone know how many law students get offers through OCI each year compared with unsolicited attempts outside of the OCI process?
Sorry, I should have been more specific. Like the last poster alluded to, do some research on your target firms and find some similarities you might have with partners, etc. I suggest Martindale's through Lexis. You can search people at a firm by undergrad or law school they attended. Put some good stuff in that cover letter that will make them take a look at the resume. A lot of firms will only take those unsolicited if they don't fill up in OCI, but you won't know until you start calling up firms and sending those resumes out.