In this situation the 'Rights of Way' organisation at the local council will probably be interested in getting involved. Very commonly, the landowner (golf course) and the rights of way people co-operate to put up signs to show footpath users the routes. Its in everyone's interests. The prpoer route will almost certainly be shown on a master map at the Authority but this is of no help to footpath users who are unfamiliar. It is pointless the green keeper wingeing about this if the route is properly waymarked. Politely ask him next time, perhaps, where the route goes, and wouldn't it be a good idea to put signs up.