Normally my response to this is have 2 identical tyres on the rear, both in depth of tread and pressure. but you have done that.
But if you are getting this slip in 4WD what are the front tyres like? since there is no central diff, something has to slip, and as said before, the front is heavier so the back is more likely to step out.
If it happens in 2wd then there could be some wear in the bushes, as your roads are generally more rugged than ours in the UK, although some would say ours are worse due to the speed humps and pot holes. :lol :lol
I would expect the wear and tear on your vehicle is greater than ours, I have never changed any bushes yet in 16+ years and 91 k miles, but some serious off roaders are changing them quite often.
I go off road every day, up the drive and into my garage. :augie
Also check the ARB bushes front and rear.
Also don't assume the worn bushes are at the back, worn bushes at the front can cause some issues.
I assume the wheels are on tight, bearings are ok and that the rims aren't buckled, it would be worth jacking it up by the rear diff and rotate the wheels, it might be something as simple as that. :nenau
Reason: if this has only happened since you got your new tyres.......
I hope you sort it.
Best regards, Rustic.