I realize you don't want a minivan but If I had three kids I'd get a AWD Sienna and be done with it. Despite the self inflicted ego damage its hard to argue with the room and convenience of a mini van. But I'm and old dude now and don't really care what people think of me or what I drive.
Active/Reserve/Retired: Retired
Branch of Military: US Coast Guard
Years Served: 22yrs
Paygrade: E-9
MOS/Rate: QM/BM
Currently Stationed: Sault Ste Marie, MI, waiting on the wife to retire in a couple years.
Stock size (265/70/17), P rated. Little hum on the freeway but not annoying. They have been great in the couple snow falls we've had. I have about 3000 miles on them now. Based on what I've experienced I'd recommend them for anyone living in the snow belt.
Might want to take a look at the Cooper ATW. All Terrain 4 season "snow" tire. Same as the AT3 but with additional siping. I put them to the test last week in 10" of unforcasted snow while hunting. Never spun a tire, honest. I was 5 miles from the highway and honestly was worried about...