I think the only way would be to give it 'Motorway' status (as in it becoming the A24M) which should keep learner drivers off it too.
Sadly not. I'm pretty sure that Traffic Regulation Order can in theory ban cycles from any road, but it should only be for a reason in
http://www.legislation.gov.uk/ukpga/1984/27/section/1 (summary: avoiding danger to users, preventing damage to the road or to any building on/near it, facilitating passage, preventing use by traffic unsuitable for its character, preserving it for persons on horseback or on foot, preserving or improving the amenities of the area, or air quality) - but unless there's a safer alternative for all journeys, it's hard to see how there's a tenable argument for banning cycling, so I've mainly seen it used for short and/or junctionless stretches. At best, it should be very embarrasing to a council that they've created a dangerous road and they'll probably have to ban walkers, horses and farm vehicles too, so cyclists shouldn't be alone [edit:] in fighting the ban order.
Of course, they could make an order anyway, then it'll take a load of money getting it overturned in court and it'll probably cause a load of bad publicity for cycling and harm the county council's cycling strategy and public health strategy and argh what a mess.
Any Surrey resident getting a pro-cycling petition together, perhaps asking for the road design to be changed to limit the dangers posed by motorists to all other users? I hope it wouldn't be too hard to top 300 signatures.
Far better to restrict the road to 40mph and put 'speed cameras' on it (nice little 'earner' for the Council )
Probably. Some redesigns could be good, too.