I don't know about Cheshire, but in Cumbria, small but useful pockets of grazing with good fences, access, and a water supply would be around £100 per acre for a 6 months annual license, maybe up to half as much again for 11 months. If I remember correctly, most grazing licenses require a period, even if only 2 weeks, each year when the livestock are off; something to do with not establishing a tenancy.