No Beagle is not good people for the people who are suffering from allergies and your wife is suffering from allergies so you should try the Yorkie puppies because Beagle are sensitive dogs and can be affected with that allergies. To check the list of dogs you can keep if your wife is suffering from allergies.
www.justusdogs.com.auflex/types_of_dogs/663/1
www.justusdogs.com.auflex/types_of_dogs/663/1