There are plenty of hills, crowned roads, and tight curves in and around the Chicago area. They're not the problem. And salt is only marginally effective in low traffic suburban areas, that have minimal snow removal. Especially in times of heavy snowfall. And salt is not very effective at all if the temperature drops into single digits.... Which is very common.
It all boils down to how you drive.
And if the traffic in front of you isn't moving, neither are you. And it won't matter if you're driving a D-9 Cat. I've never found Winter tires to be much of an improvement. Which is why I never bought them.
I've had neighbors with snow tires who got stuck constantly. They drive too fast, and brake too hard. Aggressive driving got them into ditches, and or wrecks, that only a tow truck could pull them out of. Take your time accelerating, and even more braking, while keeping a much longer than normal interval, and you'll be fine.
It worked for me for countless Winters there.... Until I got smart 31 years ago, and left for Arizona. Now the only snow I see are on top of the mountains behind me, once in a Blue Moon. And it only lasts for a couple of hours.
Lake Shore Drive in Chicago a couple of Winters ago. Look at how well all of those "Winter Tires" are performing. Amazing!