I used to be with RAC (never came across to using their service, thanks God) and now with AA
RAC used to give "no call out discount" at every renewal. When I phoned them to cancel membership-they did offer me, as far as I remember, half price policy!
Had same story with phone companies etc... When you phone them to cancel - they will do a good deal to keep you!
As 1st cover, which you can't really try to cancel to get it cheaper, I would go for any... AA, RAC, GreenFlag as there are no much difference between them all!
Also, your insurance company can provide a break dower cover at pretty low cost(some dont lol)