You will need a visa to live, work and/or study in the United States.
In some cases, foreign citizens can obtain F-1 (student visa) to study at a public high school in the US. However, you will only be able to do this for up to ONE YEAR maximum plus you are required to pay the FULL COST (unsubsidized) of that year's worth of education, which usually amounts to several thousands of dollars (anywhere from $3,000 to $10,000). Have a read here for more information:
http://travel.state.gov/visa/temp/types/types_1269.htmlGetting a work permit is not an option for you, as you must have at least a bachelor's degree and a professional job offer in most cases.
A marriage-based visa is also not an option as you are both too young (as Reba mentioned). So that's out, too.
My advice to you is to finish high school in Canada, and maybe consider applying to colleges in and around NYC (there are many of them). You may qualify for scholarships and financial aid that could reduce the cost of tuition.