“Maybe a grass path along the fence extending away from the wire fencing a couple of feet. Then add timbers around the perimeter of the growing area so you have a clean edge of the grass that can be strimmed. The grass in the wire fence is then not a problem.”
This describes my arrangement, perimeter paths on three sides( Cold frames on north side) Originally beds set in to reduce chance of neighbouring livestock grazing crops.Perimeter fence is 800mm stockfence and 3 strands of plain wire(farmer preferred no barbed; but then used it on his own plot!) on 2.4m posts, driven in to be 1.8m. So far no deer….
I have woodchip on cardboard for paths mainly and although grass tries to gain a foothold, its easily chopped back/hoed to remove.Provides a seperation zone from slug rich habitat and vole cover provided by the surrounding pasture.