Hello BOBNZ, A couple of thoughts:
A fella who I know that lives on a lifestyle block has a similar problem to you, in that he cannot shoulder a rifle. He bought a red dot laser and shoots rabbits at 10 - 50 metre quite effectively without shouldering the rifle.
Second thought, another mate (who is able bodied) purchased a super light, carbon fibre tri-pod off of AliExpress for next to nothing. It's a camera tripod. He then purchased a U fitting which screws onto the top of the tripod and is effective shooting off of that. In his case the purchase was necessitated due to the knee high hay grass making it impossible to shoot off a bi-pod, prone. It works well and might remove some of your mechanical challenges.
Third thought is, 12 gauge shotgun off the hip!!! That removes a lot of the mechanics and guess work! I use my pump gun only about 2% of the time, but for a bit of comic relief try taping a NITECORE MH12S 1800 lumens 1" tube, mounted in an OLIGHHT X-WM03 magnetic bracket, onto the front end of a 12 gauge pump, then MOVE as fast as possible over undulating ground. Every time you come over a rise or round a bush its BOOM, BOOM, BOOM! GREAT FUN! I tape it on with 50mm PVC tape even though the advertising says the magnet will hold on a 12 gauge because one night the magnet let go and the torch went flying! I couldn't find it in the dark, but went back the next day and found it at arms length down a rabbit hole! Rabbit's revenge! (PS: I don't shoot of the hip! I'm not Clint Eastwood or a Cowboy!)
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