I agree with Mark on his observations for the conditions at both resorts. We, (my wife and I) ride Snowbasin and Powder Mountain. Snowbasin starts getting crowded at around 11:00-11:30 on weekends. Powder Mountain a couple hours later, but, the crowds at Powder Mountain are WAY less than at Snowbasin.
Riding the backcountry cat will be awesome for you, lots of great terrain.
email me at trishwheat at comcast dot net. if you would like to ride together.