Society of Biblical Literature
The SBL was not the first association dedicated to biblical studies in North America, but it was the first that was interdenominational. The thirty-two founding members of SBL in 1880 even included a Unitarian, Ezra Abbott. Wikipedia*
On the C-SPAN Networks:
Society of Biblical Literature has hosted 1 event in the C-SPAN Video Library; the first program was a 2006 Foreign Legislature.