Congratulations on your college! I have to say, first there is no wrong way to spell, although many abide by a standard since it's just english versions of japanese alphabets, you just need to get the sound right.
But, I would say to investigate the area around tokhu, aomori etc. As said Niseko is nice, but too many tourists. In North Honshu you will find small resorts with huge powder and nice little ryokan (Japanese style bed/breakfast, family run usually). For the price of a big place like Niseko you can be the only one on the mountain, at a different place every day! This is probably my favorite thing to do, although certainly do not rule out Hokkaido.
snowjapan.com is excellent and if you can read the reviews on Hakkoda (my favorite example) you will see it is a good experience!
Greetings,