I've run WS80 winter tires on my BMW 135i since I've owned it back in 2014. The tires have never failed me in various winter weather conditions. They do seem to wear out pretty quickly. The tire size I use on the 135i are 225/50/18. Because of the deep tread block design, the traction control on my 135i is always intervening even with small throttle applications. This was when I had the car stock at 300HP/300FT Lbs to 320HP/317 FT Lbs (with the PPK tune), and now with 355HP/401 FT lbs (with the Dinan S2 tune). I suspect there wouldn't be any problems with the traction control going off with the C-HR.
When I get around to it, I will be looking at a second set of wheels to facilitate mounting winter tires. I'd probably go with the WS80s again and keep the stock size I have on my LE at 215/60/17. It's actually better to get a narrower tire for better traction in the snow.
2019 Toyota C-HR LE Silver Knockout Metallic
2013 BMW 135i Carbon Black
2009 Ducati 848 Pearl White/Black
2004 Kawasaki Ninja ZX-10R Black