South Worcester at Upton upon Severn should be right up your alley. Nice friendly local place. Good targets. A slight step up from throckmorton. But the same type of place with nothing too daunting. Check out their website. Search swsg.
There's also a couple of good clubs out redditch way. Three lakes is one. Forhill just north of redditch is good too. Try also Cotswold shooting at childswickham . Not far from evesham . They open 1st Saturday of the month . Fibre only. Also give hailes fruit farm a try. Near toddington(?) Not sure of their days/ hours.
Hereford and Worcester shooting ground at redditch is ok. .
Adventure sports at wedgenock ( Warwick) is good too.
All these are good nice friendly places . Probably all a step up from throckmorton . But not registered level . So possibly a good stepping stone.
All have website or FB presence so you should be able to check them out , see if they're what your looking for.
Any more info give us a shout.