Larry Hogan works a room like Joe Frazier worked an opponent’s upper body: thoroughly, relentlessly, joyfully, leaving no part untouched. At an American Legion hall in Sharptown, a village on Maryland’s Eastern Shore, the burly, energetic Mr. Hogan shakes every hand, claps an arm around every shoulder and poses for two or three pictures per phone. “He’s a people person. He’s for the little guy,” says one observer. “He shows up,” says another. “He will listen to your problem.”