Surely with a non-radio departure you have ample opportunity to discuss it with Ops before walking to the a/c.
Inbound, I quote Pooleys entry for White Waltham "Non-radio aircraft require telephone briefing from operations prior to each flight". I fly into OS fairly often which has a similar requirement.
If this is adhered to, surely any problems with inappropriate runways, etc. can be dealt with on the ground - which is the right time and place to do so. By and large, the pilot of a an aircraft that should have a problem should do this anyway, regardless of whether he or she is using RT?
G