Winter tires size for e36 17' rims

[iverson03tj]

Hey guys, i got 17x8 et 38 rims and i wanna find winter tires the car.... its currently stock height and its a e36 btw with the m3 brakes... so thats why i need 17's cuz anyhting lower wont clear the brakes i think...

So im looking for winter tires.. currently i run 225/45 on the rim
but finding low profile tires for winter are hard
So im thinking maybe 225/ 55or 50 would this clear it???

[JustinE36M3]

lm60's

[Jim@tirerack]

I have a lot of the 225/45R17 winter tires. If you need serious winter ice and snow traction the Blizzak WS70 would be the best. If it is a little less snow the Blizzak LM60 and the Dunlop Winter Sport are very good options.
If I can help let me know.