@NewLondoner1, someone recently posted cut-off distance data for the last 3 years to a schools thread on mumsnet's local Richmond site, and it included September distances (after waiting list movement) as well as March Offer Day distances. Here they are .....
School,National Offer Day 1 Mar 2018,By 1 Sep 2018 (not avail yet)
Christ’s School, Open places 1.380 km,
Grey Court School, 3.146 km,
Hampton High School,Not oversubscribed,
Orleans Park School, 1.530 km,
Richmond Park Academy, 2.981 km,
St Richard Reynolds, Randomly allocated within criterion 2,
Teddington School, 2.660 km,
Richmond Upon Thames School, 3.590 km,
Turing House School," 20% 6(a) 1.308 km, 80% 6(b) 2.457 km",
Twickenham Academy,Not oversubscribed,
Waldegrave School,"Area A 1.533 km, Area B 5.028 km",
,,
School,National Offer Day 1 Mar 2017,By 1 Sep 2017
Christs (open places),1.291 km,1.344 km
Grey Court,2.941 km,3.788 km
Hampton High,Not oversubscribed,N/A
Orleans Park,1.611km,2.724 km
Richmond Park Academy,Not oversubscribed,N/A
St Richard Reynolds,Random allocation,N/A
Teddington,3.429 km,8.593 km
Richmond Upon Thames School,5.445 km,33.00 km
Turing House,3.235 km,4.137 km
Twickenham Academy,Not oversubscribed,N/A
Waldegrave Area 1,1.911 km,2.04 km
Waldegrave Area 2,5.304 km,5.719 km
,,
School,National Offer Day 1 Mar 2016,By 1 Sep 2016
Christs (open places),1.438 km,2.532 km
Grey Court,3.243 km,4.314 km
Hampton High,Not oversubscribed,N/A
Orleans Park,1.466 km,1.786 km
Richmond Park Academy,Not oversubscribed,N/A
St Richard Reynolds,Random allocation,N/A
Teddington,2.433 km,5.422 km
Turing House,2.526 km,4.159 km
Twickenham Academy,Not oversubscribed,N/A
Waldegrave Area 1,1.616 km,1.777 km
Waldegrave Area 2,5.172 km,6.077 km
All the distances are walking distance rather than crow-flies, but once you know where you're going to live you should be able to measure that using Google maps or else phone the LA admissions department. Check the policy for Turing House carefully as they use admissions point that aren't at the school itself (and they also have maps of previous years admissions on their website which might help). You've got a good chance of getting in there as it's a new school. It doesn't have an Ofsted report yet, but has a very good reputation locally. Best to go and visit if you can.
RTS is another new local school - it just opened last September.