Answering the first part of the first post. States without an NCAA University/Division I champion (or single division which ran prior to 1963). # of All-Time places in parenthesis.
Alaska (3), Alabama (5), Georgia (18), Kentucky (4), New Hampshire (1), Nevada (12), Rhode Island (6), South Carolina (4), Vermont (1), West Virginia (10) and for good measure, Washington D.C. (4).