You will have no problem with the stock size tires, and more likely than not, if the tires fit the snowflakes properly, you won't have issues putting them on the Cobra R rims.
What size tires are you running?
I'll have to take a look at the tires tomorrow. I was only 8 the last time tires were put on it so i have no idea haha.
They will fit but you will not have as big a bulge to protect your rims (because the bead will be moved 1/2 inch further out). Just dont get close to curbs and you should be fine.