I used to hunt quite a bit and also shoot FT, up to World Championship level. I got a bit fed up with it all, but still have a VERY accurate S300 special, built by the guy who designed the S300 and S400.
Can I suggest you join the BASC, as an airgun member. This will give you credibility with the farmers, and may possibly give you a few local contacts too and lastly it will give you public liability insurance, which given the way people reach for a lawer at the slightest thing these days, is the reason I keep paying my subs every year.
Also, a tip for finding bunny bashing. Find local livery stables, as rabbit holes and horses do not mix. I used to have quite a few acres where I kept the rabbits down. Golf courses are good too, but most of them use professionals.
Oh and my son and I used to smash chalk disk targets (an inch round) at 60 yards. Me with my £2,500 FT rig complete with 50 mag Leupold scope, him with his 12 mag scope on his .22 Air Arms S200