If you’re coming from bottom of box, just go through Denbies and up: can either take the nice smooth ‘Denbies Tour’ route or keeping heading straight up the steeper chalky bridleway here…
http://www.streetmap.co.uk/map.srf?x=515837&y=151230&z=115&sv=515837,151230&st=4&ar=y&mapp=map.srf&searchp=ids.srf&dn=631&ax=515837&ay=151230&lm=0
…or head through Denbies and then use Ranmore coach road…ride up ranmore road (Yes you could use the FP that runs along the side of St Martins school but its narrow and only leads to grief with walkers) and just passed the dump is a bridleway that goes around the house and leads to the coach road…
http://www.streetmap.co.uk/map.srf?x=515812&y=150140&z=115&sv=515812,150140&st=4&ar=y&mapp=map.srf&searchp=ids.srf&dn=631&ax=515812&ay=150140&lm=0
….that’ll go up then back down and then all the way to the side of Westcott via Balchins Lane. Get on Wolverns then up to Leith.
If you coming from Box or Mickleham, via Norbury Park is nice and then around Polesden and up to Ranmore