Those kinds of conditions can be a challenge to work in. If you had that TO-35, properly ballasted, tire chains etc., still likely to bog down, same with a FWA tractor, unless there is something hard underneath, if its deep soft material, a tractor with narrow, (two rib ag front tires), those fronts will slice open the soil and make a path for the rears to just sink right in. Mind you, if there is something solid under it, it may be negotiable, but will make all kinds of ruts and a mess, once you do that, you will trap more water. Often times in wet areas you may get a couple of passes before the water pumps up and you can't get traction. To a certain point a Low Ground Pressure, track-type tractor will work, depends on weight and track gauge/track pad width. You would need one with a 3 pt hitch/PTO or just a PTO so at least you could use a pull behind rotary, latter may lack the ability to lift up over things too big to cut or small obstructions the tractor will go over, but you don't want the mower to hit.
If there is something solid underneath, the FWA tractor may get enough traction, but could make deep ruts limiting what you can do. I have to negotiate wet areas with similar tractor to the TO-35, mine has a front end loader, loaded tires and usually significant weight on the back. Most times I can get through, solid underneath sometimes I use to loader to push back out, but there have been 2 instances since I have owned it, that I got 2 close to the 20 acre pond, surrounding soil gets soft and deep, depending on water level, rain, weather etc. In those cases, it just sunk right in, narrow front tires open it up like a pizza cutter, and the rears follow, especially if you have the pto engaged while mowing, this tractor does not have independent PTO or a 2 stage clutch, the inertia will push you further even if you may have been able to stop soon enough, both times that extra push was the finishing touch on being stuck. Next smart thing to do is stop and get towed, you can really bury one if you keep fooling with it. The other thing in soft ground, FWA tractor or not, is slopes or uneven terrain, anytime you get a tractor with one rear tire lower than the other, traction changes drastically and easily stuck. My vote would be something with low ground pressure like a track type, if you cannot get in there when things dry, some years things don't, have to be an opportunist when conditions are right. Getting stuck equipment out of remote places is never any fun, I think the soil conditions/weather would be more of a deciding factor than anything else as to what would be best to do the work.
