Comparing the best white Obama county in the state vs. most pro-gay county in each state in the gay marriage initiatives, since there is of course a correlation:
Gay White Obama
Alabama Sumter Greene
Arkansas Pulaski Pulaski/Washington
Florida Monroe Broward
Georgia Athens-Clarke DeKalb
Kentucky Fayette Elliott
Louisiana Orleans Orleans
Maine Cumberland Cumberland
Maryland Montgomery Prince George's
Michigan Washtenaw Washtenaw
Minnesota Hennepin St. Louis
Mississippi Tunica Noxubee/Marshall
Missouri St. Louis city St. Louis city
Nebraska Douglas Lancaster
North Carolina Orange Orange
North Dakota Grand Forks Ransom
Ohio Athens Athens
Oklahoma Cleveland Okmulgee/Muskogee
South Carolina Charleston Orangeburg
Tennessee Nashville-Davidson Nashville-Davidson/Houston
Texas Travis Travis
Virginia Charlottesville (city) Petersburg (city)
Wisconsin Dane Dane
Many are either the same or both counties are at near the top of the other category. Others (GA, MD, VA) have the best white Obama county having a high black population, pulling down the gay marriage result.
Elliott County, KY votes on economic issues. Broward, FL has many elderly Democrats. ND is surprising--Ransom County seems pretty non-descript.
Where did you find that data?