My husband is a bigger guy (200+lbs) and has had great luck with New Balance 993's. Asics also has some good running shoes. The best thing to do is to find a specialty running store in your area (not a place like Dick's or Sports Authority) where the staff is trained and can recommend a specific running shoe for your husband, they would watch him run and observe his gait and look for things like over/under pronantion...there are so many different choices (stability, motion control, nuetral) and what works well for one may not for another.
If there aren't any running shops in your area what you can do is order from a place like Road Runner Sports, they have a 90 day trial period so if you order shoes and if they don't work out, you can exchange or return them. To avoid shipping costs and get additional discounts you can become a member for 1.99/year.
Good luck!