you can buy snow tires in a low profile....whoever told you that was talkin BS...
im running blizzacks lm25's in 225/40/18 front and rear on staggered 18". the rear wheel is 9" so the 225 is stretched. no problems.
you should run the thinnest tire possible in terms of width so 225 is better than 235 or 245, all of which are available on the blizzacks, dunlop winter 3d, nokians, hankooks, etc..
dont forget you will need tpms also since you are in the USA. otherwise you'll have the flashing dash light all winter long