The week prior to this run, we had ~20 inches of snow in the area, the paths were able to be found in the snow. This day, it started snowing early and by the end of the run, there was shin-height snow. Surprisingly we did cross paths with a handful of hikers and a few dogs.
Most water crossings were frozen and covered with snow, but they were not fully frozen, some wet feet were obtained.
There were places along the trail where there were drainage ditches on the sides and/or between flat sections, those were some scary booby traps and if stepped in.. .you are up to your hip in snow. I would not suggest doing this route in the winter unless you are familiar with the trails. A much faster time can be obtained in dry/warm conditions. the creek crossing without the bridge would give you wet feet.