Greetings Alex, glad to be of help. Yes, you should look for two lodges- one in NY and one in RI. If a man wishes to petition (apply) for Masonry, he must find a lodge, and request the appropriate paperwork and forms, then complete the application process. Normally, a man will locate a lodge near his residence. I am from a college town in Kentucky, and we have a number of students, who reside in our city part of the year, and then return to their homes elsewhere when school is out.
I suggest that you seek out a lodge in your area of primary residence, there on Long Island. You can obtain a petition form, from the Lodge Secretary. You can begin the process of joining right there. If you do not complete the entire process, by September, when you return to school, you can have a lodge in Rhode Island, complete the process, as a “courtesy”.
You will request that the lodge in Long Island,sign over a “power of attorney” to the lodge in Providence. You will do the ceremonial and ritual work in Providence, but your membership will be in the New York lodge. This procedure is often used, for college students, military people, and anyone who is away from their primary residence for an extended period of time. I am in Iraq, and we may have to employ “courtesy work” for some of the soldiers here.
If you would like me to assist you in locating a lodge in New York, please send me a PM with your name/address/phone/email, and I will assist you . I belong to a lodge in Buffalo, NY.
All the best,