Route
Brook Trail
Bolles Trail
Bee Line Trail (Chocorua Branch)
Brook Trail
Liberty Trail
Hammond Trail

Conditions
Brook Trail: Lower stretch was clear with a few inches of snow
Bolles Trail:Clear and mostly dry with a few inches of snow. The crossing of Paugus Brook was easier with poles and microspikes due to icy rocks and a big gap between two of the rocks.
Bee Line Trail (Chocorua Branch): Trail was clear with one minor step-over. The re-route is in great shape. Some ice closer to the junction with Brook Trail where we put on our spikes.
Brook Trail: From Bee Line to Liberty was increasingly icy. The ledges were challenging with the snow covered ice. We needed at least microspikes, but Hillsounds or even crampons would be reasonable for a couple of stretches, especially if one wishes to descend safely.
Liberty Trail: From Brook down to the cabin was less icy (but still pockets of ice). Cabin was unused. We closed on of the window panels where there is a pane missing to stop the snow from blowing in.
Hammond Trail: The upper ridge/ledges were a combination of snow covered rock and ice. Once done with the ledges we were able to bareboot the rest of the way without issue. One large duck-under just after the Weetamoo junction. The lower crossings of Stony Brook were easy rock-hops (even without traction on).

Special Equipment
Traction (light needed, moderate to heavy likely useful), Poles, Leash/harness for dogs to help them up the icy ledges

Comments
The schedule dictated a night hike, and the weather forecast only made it more exciting. On trail at 6pm, there was an inch or so, with 3-4 inches by the end of the hike. Only other signs of life we saw were the fox or coyote tracks along the Hammond trail on the ridge. Other than that it was the peaceful sounds of brooks and the silence of the fresh snow. The upper ledges on the Brook trail did require us to hoist the dog (100lb German Shepard) in a couple of spots, which would have been tricky with just one person. The Brook Trailhead parking lot doesn't get plowed in winter, so it might become inaccessible after the next storm.