8156x5340 should have been covered by a your trip down Normanton Lane (Foston Lane?) - make sure that when you do a ride that you click on it in Veloviewer to get the definitive tile list from your ride. If you don't do this Veloviewer uses a summary of your ride data so it can miss or give you tiles incorrectly especially the ones that are only just clipped by your route.
Bottesford Road, Allington was the way I approached a couple of the squares in that area.
Veloviewer has an OS map layer that's very helpful, it would have given you confidence that you could get over the gate at the end of Highfield Drive and get the tile at the Beckingham Range. You can see that there is a public footpath so you have every right to be there (just not when the red flags are flying).
Enjoy your tile hunting.