I've never had that experience with the tail wheel, and am trying to visualize what would cause it.
Was the ground dried out and compacted and or are the shares worn down too much ? Besides worn shares, was the plow level both ways in the furrow and or aligned to the tractor correctly ? Coulters ? some prefer them, some do not, my preference is to have them and set them just enough to slice.
With the gravel content in the soils here, scouring is likely never an issue, but I would bet in the finer/siltier kinds of soils, it would not take long for it to stick to the moldboard, or say deep sod in heavy/fine soil could plug, seems you want it shined up before.
I'd use a wire wheel, well flap disk might be better, wear safety glasses with either, those darned strands of wire do come off like sparks sometimes, main thing is to remove rust and not take off metal.
As soon as I am done with my plows, take the air hose and blow off,(wear safety glasses)the moldboard, clean any crevices where dirt accumulates, wipe dry/clean and use rustoleum paint, and I try to do it when the temperature is warm enough to paint outside. Couple of light coats and its good to sit a long time, I have one unused in over a year, not a hint of rust and the paint is white. I have used grease, but it seems to wear off over time, had one sit 2 years with a coat of grease, one area close to the share and shin just started to rust. Kind of a matter of preference, and of course, I'm no expert, but having fooled with 3 older plows, for the last 10 years or so, a 1 bottom and a pair of 2 bottom plows, as well as heeding the advice from this same forum, some suggestions and or hints, its a little bit of fun once you have it working right and the results look good, I can recall the first patch of root bound soil I started working, results were so-so, but it worked, no erosion or ill effects, now that patch turns easier and I have decent handle on how to set up and use the plow or I at least I think I do LOL !!!