Interesting question.
I am currently using my Gamo Falcon a lot, and find it accurate 10m.
This only cost me £45 posted.
An Original Model 5 is probably your best bet. A quality gun without the giss system, it'll recoil as all break barrel springers do, but would not be frustrating inaccurate.
You should put up a good condition one for a £100 or so, possibly less.
Kind regards,
Phil