On the very perimeter of Newstead Abbey Park - indeed if cycling or on foot it is a way in without paying for entrance (maybe not larger mountain bikes though, the gateway is very narrow).
The cricket ground is nice and sheltered, all levels are played. On a good day it is a joy to take a seat, flask of tea and a newspaper. There is a bar open on match days, not sure if non members can purchase though, I haven't tried.