What do you mean by spring? Out west we often get our best snow Feb.- March.
Don't go to Big Bear, Mammoth has much better terrain and snow and the park is on point. If park is a major consideration Mammoth may be your best bet. The Tahoe resorts (Squaw, K-wood etc.) would work well too w/ a little less of a park focus.
If you're coming out early to mid March and want to check out some non- park stuff Jackson and Targhee are often going off around that time.
Here's a tip: instead of wearing an avalanche beacon just put a dog treat in your jacket.
That way, when the search and rescue dogs find your body, they can have a little treat.
Leave no turn unstoned.