That should be a good set-up for traction, I have had ARBs front and rear in a series before, and it was great on the forestry tracks. Not too different in practice to my Detroit and Trutrac with centre diff locked.
You probably would get across OPs field,it is fairly flat!, as you say it would be a mess. But trust me, you wouldn't get up here, this is where the tractor bellied out years ago.
When the ground is steep and saturated the problems add up. you can see here the tracks where I have gone down the slope. But coming up would be a completely different story, any wheelspin would turn the clay to liquid, and once you sink in a foot, there is no progress. And the slope is far too steep to turn sideways at the worst part, you can see where I have turned where it is less steep at the bottom.
My mate got a 110 on mud tyres stuck in a plowed field, I put the lockers in and set off accross with a 2 ton mini digger on a trailer, it started to slow so more throttle and the tyres clear and I was through, although the mini digger was caked in mud,