We do a lot of bow hunting for geese here in Mass. Especially the ealy season "local bird" hunt. It allows us to get out a month before anything else opens and get some time behind the bow shooting at game and we can shoot 5 a day. Spot and stalk is always fun, they have sharp eyes and you have to be perfect to get within bow range when they are feeding in a field. If you are finding they ALWAYS bust you and you want a little meat for the freezer try this technique I watched an old timer use once. He grabbed his bow by one end and entered the field from the complete opposite side, moving it over the ground as if it was a metal detector. Moving very slowly he made wide zig ziags in the general direction of the geese. By taking about 40 minutes to get close they didn't spook at all, then at about 25 yards, he stopped. Grabbed his bow, knocked an arrow and drew .. they were getting nervous .. but just stood there and watched him till he took a big one and they all went skyward.
We'll stalk them on water as well, because it's warm we'll enter the cattails and slink through till we're close. Arrows float so when you hit them they don't go far, and they are as easy to retrieve as the dead geese are.
In the fall I'll sometimes take my bow in the blind with me as I've often seen deer while duck and goose hunting. I've tried taking them just as they hit dirt and been successful from time to time, they usually bust you drawing though.

The main reason we started hunting geese with a bow is that getting permission for this type of hunting is even easier than asking to shoot coyotes here in the east. Nobody likes the mess geese leave .. and once they lose their fear of people, they become quite aggresive. I've had some of the most anti-hunting people ASK me to kill the geese on their property, and as long as I can hunt deer and turkey to I oblige them.