As has already been mentioned, VA & USDA are the only no money down options available so unless you're a Veteran, USDA is your only option.
The downside is 02718 is not an eligible area so you would need to be ok with buying/living in one of the following eligible areas.
East Freetown, North Rochester, Berkley, Dighton or Assonet.
One of the best things about the USDA mortgage is the monthly mortgage insurance is substantially less than an FHA or conventional mortgage and that's with no money down.
Here's an example: An FHA mortgage of $155,000 is going to have a monthly mortgage insurance payment of $174.37 but on a USDA mortgage it's only going to add $51.66 to your monthly payment.
The other nice thing is you can actually roll your closing costs into the loan as long as the appraised value supports it.
Please feel free to contact me for more information or help. You can also find info on my USDA Mortgage website by clicking the link below.
Senior Mortgage Banker
Peoples Bank & Trust Co.