A bullpup configuration will move most of the weight behind the trigger and you will support much of the weight with your shoulder. I can actually shoot my Viking from standing position with right hand only. Vulcan and Cricket are good ones and FX Wildcat is a possible candidate one FX gets their act together. Alternatively get a bullpup kit for your HW.
Viking Mk2 .177/.22 bullpup, BSA Scorpion SE .177, BSA Scorpion .25 100M gun, BSA Scorpion .224 100fpe 100M gun,
Evanix Blizzard .257/.357 200M BR, Evanix Sniper X2 .45 at 270 fpe