I see you are in RI, so drive north to Quincy MA. Take the Harbor Express Harbor Express Site. Their parking is reasonable and safe, and you do not have the hassle of driving all the way to Logan. It is the only way I will go to Logan anymore. I ususally drive to your neck of the woods and fly out of TF Green.
If you don't want to go to Quincy try logan express out of Braintree right off highway!! near South Shore Plaza!!
I agree with Deb use harbor Express!!