I got my current job by e-mailing my resume (cold, essentially) to a (biglaw) firm. During the same job search, I received several other responses from e-mailed resumes (not interested, not hiring now but maybe later, let's talk, etc.). Some of the messages did seem to disappear into the black hole of the firm e-mail system, but overall I found firms responsive.
I take the point from the previous post that the "older generation" might be less e-mail inclined, but larger firms have HR people, who tend to be up on the new technology. Also, lots of firms now request e-mailed resumes, so I assume this indicates a willingness to accept them in electronic form.
I did include a cover letter with my resume, which I think is still a good idea. Also, I would not be shy about sending resumes by a variety of methods (e-mail, fax, mail, carrier pigeon, etc.).
Good luck!
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