IMO in SLICK mud, your going to need a pure mud tire that self cleans FAST
as any all terrain tire in slick mud most likely will just fill up[ and NOT self clean much and as such will just be slicks
all terrain tires are NOT mud tires
just nature of the beast
if the tires you have NOW are NOT self cleaning in this mud, and are some what like bear claws, you will have same results! tires full of mud making slicks out of them!
you need pure mud tires, or a LOT more HP to spin the tires to self clean LOL and that means NOT a honda ATV, but "X" other brands