Thanks all for fleshing in my brief explanation as I go to bed.
@Delmer is on what I would try to explain.
When you reach out and get a grab with the back bucket, think very carefully about what is holding you back. Try lifting the front tires just a bit with a flat front bucket and pull gently. Get the outriggers down close to the ground. Don't lift the back tires all the way off the ground.
Each thing takes some of the weight. If you lift it all the way up off the ground, now that bucket grab in the mud is doing all the work and it will sink in and fail.
The front bucket vertical stab-and-roll is very effective. If you need it you can coordinate that and do it at the same time as dragging with the rear.
From
@Delmer
"If you had a JD you could set the outriggers down so they're taking equal pressure as the tires, roll the front bucket forward and lift the front tires off the ground, then reach out a little past vertical with the stick and lift the rear just clearing the ground, then pull in with the stick while rolling the front bucket back and you can back out of nearly anything. I don't know if a Case can do those movements with any control at the same time, and even if it can, it won't be as easy."
Yes you can do that. But the trick is to take your time and make small increments of front bucket roll and then pull some. I don't know if it was made clear but you are going to go out backwards, every time. Pushing just does not work.
So you are not pointed in the right direction?
lift the front bucket just clear of the ground.
Set the outriggers flush with the tires they share the weight.
reach off center in the direction you want the back end to move sideways, about 5' off center at most.
Put the bucket down with the stick about vertical.
lift and drag yourself over in that direction. Repeat. You can do this and move backward a bit each set if possible.
Get it pointed at the place you want to back out of the goo.