Could you change the way you knit?
Over the last couple of years I have taught myself to knit the with the yarn in my left hand instead of throwing it over with the right hand.
It came about when I was trying to improve my fairisle work using two colours and wanted to hold one colour in each hand. The techniques are different - unlike the 'throwing over' of the yarn that the right hand does, the movements of the left hand are more similar to those used in crochet, where the needle is hooking the yarn through the previous stitch.
To begin with, I struggled, but once I recognised this similarity with crocheting suddenly it got a whole lot easier. I have never struggled to crochet with the yarn in in my left hand so it suddenly made sense for knitting too.
Now, I actually prefer doing a lot of knitting projects that way.
It definitely changes which part of the hands take the strain.