New Hampshire, with 46.6% not having a Bachelor's degree and 20.5% having no college experience at all. However it's part-time legislature made many of the degrees difficult to determine.
Maine is the runner up for Bachelor's: 42% have no Bachelor's degree.
New Mexico's the runner up for no college: 16.2% have no college experience.
Interesting, Delware's one of the lower ones for less than a Bachelors (40.3%) but one of the higher ones for percent having a doctorate (8.1%).
More information here.