Visiting in Winter - Hovenweep National Monument (U.S. National Park Service) Large snowfalls are possible, but not likely. Be prepared for all kinds of conditions. NPS photo. Trails are open sunrise to sunset unless otherwise posted, but may be icy. The most popular trail is the Square Tower Loop, which leaves from the visitor center or from the campground. Please be advised the loop hike includes portions on slickrock, which as the name suggests can be slick. The trail also has steep sections entering and exiting the canyon, which will also be treacherous when wet, snowy, or icy.