The idea to play virtually while walking a golf course is ludicrous. Just think of all the lost virtual balls that would be out there. ;-/
Now...if I could play the same weekly televised pro tourney virtually while watching from my couch...there's something that would make my viewing more enjoyable...and more productive. Well "productive" might not be the right word. Just put a transponder in the flagstick so we'd have the realtime hole coordinates. I'm sure some ArcGIS and Esri developers could make this work. There's a game I'd play.