I've done it on one of my D7's, sort of a slope and what was mud, it dried out when we worked on it.
Always have to turn gently and or avoid doing so on a side hill, seems you have the manual adjuster, and have room still, so you may be able to get track tension back when done.
If you are able get the track adjuster back far enough, its very possible you will have enough clearance. When I had to deal with ours it had slipped the back end, but same deal if you think about it, this tractor had well worn tracks, adjusters about max if I recall.
We could not have done this without some heavy jacks, pry bars and so on. I had no other piece of equipment to use either.
Splitting the track would do it, but like Fritz said, you need something to move it, driving that pin out could be a real chore, I suppose you could get another and use another method, and depending on where that link is, and so on, have to be leary of flying metal if driving out, its going to be some work regardless. Some would use a torch, I've never had to break a track down, the master link/pin on the old tracks has a divot in the pin, easily recognizeable, would be my last resort to have to do this, unless its just so darned tight you have no other choice. For some it may be preference too, there is no wrong way, that is for sure LOL !
I would carefully, look it over and make sure the adjuster is as far back as can be. Bottle jacks are not that expensive, you will need some hardwood blocking, the tractor with blade, belly pans, accumulated dirt etc, could easily be 16-17 ton, and you are raising half of that or maybe 1/4 if just the one front corner if you will, these track frames oscillate for uneven terrain, I am thinking for this, you will be under the main spring that spans the track frame, to relieve the weight on the bottom, allowing use of a come along, or equipment to pull/rotate the track back on. It certainly can be done, you just have to take your time, observe and move slowly, as you try and pull that track over and back onto the idler.
As was said, use care, and be safe, lot of forces at work, the weight, pinch points, don't do this alone, it took 3 of us to get it done, jacks, blocking and large prybars etc.