Snowbasin has really good slackcountry. It's also very dangerous. The Hells area had a huge slide in it 3-4 years back. Debris pile around 30ft deep. Went right over where everyone rides. Eye opening for sure. The stuff off of Ogden peak is nice too, same dangers though. Pick and choose around there is the moral of the story. I think there is safer and better beginner bc around the Eden valley. Though you'll have to hike for it. There are several spots around Ben Lomond where I would consider the overall danger to be low-moderate with moderate consequence on average. Where as the Snobasin lines are pretty much high danger and high consequence. The Ben Lomond stuff is also reasonable to access with snowshoes. So get yourself a pair. Check around at pawn shops, second hand shops, and such for those. I found a decent pair for the wife for $30 at a local pawn shop around here.
Not saying that the backcountry around Ben Lomond (What is it called North Park?) is completely safe. The stuff on the peak itself can be really sketch, but there is a lot of terrain there to learn on and that limits your exposure to danger. A good thing when you're getting started.