I can't give any advice about specific grasses for your area of the country but with geese it's easy. Think LAWN. They won't care if it's cut twice a week to keep it extremely tidy but the cutting will help keep fresh new growth coming and that is what's best. You might talk to landscapers, the local golf courses, the ag extension services and just look around and see what is doing well as lawn grasses in your area. I would plant a variety of grasses as well as any clovers or other legumes that might tolerate mowing. It doesn't have to be a low setting either. Some people scalp as though the mower ought to be a rotatiller. A mixture will allow for the fact that some varieties green up earlier, some last into the summer better, and some might do better or worse than others in your own situation. In this way your bases are covered as far as hopefully having planted several different things that might do well and different types of grasses etc. is more of a variety of nutrients for your birds.