Unless your 4x4 can lock the hubs both front and back I woul think twice about chaining the fronts.Driving conditions even during big events usually isn't too awful. I've never felt the need for ground clearance and an AWD sedan with good snow tires will get you through, same with chains on front wheel drive IMHO. Cottonwoods, especially LCC can get a bit dicey on major storms but usually it's the jokers with bald all season tires that think their "trucks" are a panacea in slippery conditions that cause issues. The dreaded "red snake" of taillights leaving the resorts during a storm after the lifts close are usually caused by simple buffoonery.
Also with 4x4s NEVER chain front only.