For 3 days on the North Shore, you'll get all you need at Squawllywood and Alpine.
For your South Shore experience, I think 2, 2, 1 works well. I think that'll be ur best bet to get a sense of all the mountains have to offer. Heavenly can be real fun, or get real boring real quick. Definitely Spend some time over in Killebrew and Mott Canyon. I've never been to Sierra, but I've heard good things. Kirkwood; I just keep going back!
Traveling the States and Taking Pictures