On mathjobs.org, each posting often has at the bottom of the listing "further info." Sometimes the name and contact information for a faculty member is listed. Instead of addressing my cover letter, "Dear Hiring Committee Member," would it be better if I wrote, "Dear (name of faculty member)?"
No. Although the person listed for further information might be on the search committee, they certainly won't be the only member of the committee. Furthermore, the person listed for further information might not even be on the committee.
I would definitely go with " To whom it may concern".