Diehard Auburn football fans Rick and Susan Turner hold season tickets on the 35-yard line at the university’s Jordan-Hare Stadium. But when the Tigers are on the field, the Turners are in the parking lot.

Every home game, the Birmingham, Ala., couple tailgates from their 45-foot 2016 Tiffin Zephyr, a luxury motorhome. The Zephyr offers an entertainment center and a full kitchen with solid-surface countertops and stainless-steel sink, as well as a range, microwave, dishwasher and refrigerator. And unlike the stadium, there’s no line to use the Zephyr’s bathroom. Most important, electrical hookups and an automatic generator ensure that the motorhome is fully air-conditioned.

“It’s hot in Alabama in September,” says Mr. Turner, 64, senior vice president of Greenbrier Rail Services, a company that makes freight railcars and equipment.

When the Turners hit the road—which is quite often—they travel with all the luxuries of a five-star hotel. In the world of motorhomes, Class A models that measure 40 to 45 feet are among the most lavish. New, fully loaded Class As off the lot start at about $250,000, and customized coaches can reach $3 million. Because of the price, Class A buyers are typically retirees or those nearing the end of their careers.

Mr. Turner, who paid about $525,000 for his Tiffin, retired once, but returned to the Portland, Ore.-based company at the request of the CEO. When he travels for work, he likes to take the RV, and his wife Susan, 63, and Labrador retriever Buddy typically come along for the ride. But they take plenty of personal trips to visit friends and extended family, as well as motoring to New Orleans for Mardi Gras and to the Florida Keys. In all, they put 10,000 to 15,000 miles on their motorhome each year.