I visit Madison every month for work and I've gone to the Dane on practically every visit. As you may have gathered from their name they brew their own beer and it is good stuff. I am especially fond of the Peck's Pils. Give it a whirl.
I definitely like the fact that the burgers are available with grass-fed beef. On my last visit I had the Texarkana and I definitely wasn't left disappointed (or hungry for that matter)!