You can shoot the Hendon League Benchrest with an Air Rifle. I do it myself.
Only limiting factors are that it has to be .22 calibre because competitors are also welcome to use rimfire .22 l/r. (no bipods allowed)
Funny enough last season I kicked a lot of the rimfire guys asses with my .22 bog standard HW100 !!
Gary... if you are ever down London, Surrey, Kingston, way... I have 24 hour access to the club. You are more than welcome mate.
Cheers
ADK