DO not put him on the deed. DO NOT refinance and have his name on the mortgage.
Although I will wait until someone more knowledgable with the laws of New York state to answer you, in general, pre-marriage assets remain those of the person who acquired them before the marriage.
This could change IF, after the marriage, your husband pays the morgage and/or adds significantly to the value of the home by performing repairs, additions or other work, but that's a question of equity, not ownership.