Like the others have said "It may be snowy next week" is correct. I would however say "It might be snowy next week" as it sounds less formal to my ears.

Where I come from we wouldn't use snowy but to answer your question... "It may be snowy next week." I personally think it would be better to say, "It may snow next week."

"It maybe be snowy next week" is not grammatically correct (Note: the verb tense! You forgot to conjugate the verb "to be" and wrote "it... be") Pay attention to "maybe" followed by the verb "be", this repetition B-B, does it sound right to you? If you really want to use "maybe", then you can say: "Maybe, it will snow next week" "It may be snowy next week". Snowy?!? Unheard of. Although grammatically correct, it sounds really odd. Here the adjective "snowy" is more appropriate: "The country should expect a cold, snowy winter" You can just say: 《 it might snow next week》 Or: 《 it may snow next week 》 The difference is: It may snow next week. (Most likely, it will snow. Possibility or likelihood to a higher degree.) It might snow next week. ("might" implies a somewhat lower probability that something is going to happen, hence: the chances of snow are less likely. Possibility or likelihood to a lesser degree.)

Please do not confuse "maybe" with "may be." MAYBE (perhaps) Tom: Is it going to snow tomorrow? Mona: Maybe. Who knows? Tom: The sky is dark. Mona: Maybe you should take an umbrella. ***** MAY / MIGHT / WILL BE Tom: It may be a rainy day tomorrow. Mona: You're right. It might be a rainy day tomorrow. Joe: You're both wrong. It WILL be a rainy day tomorrow. I have just heard the news on TV. ***** Tom: I think that 2013 may be a year full of surprises. Mona: Maybe! Who knows!