I flew cargo out of Bos for awhile, and reasonable is pretty relative there. I would suggest you visit one of the numerous crewrooms at Logan, as there are always plenty of places on the bulletin boards. Usually, some guy has a house or a bed-and-breakfast that caters to airline crews, and will drive you both ways for a fee. I wish I had some specifics to give you, but I don't live there anymore. Good luck.
Hotels near Logan are an arm & a leg! I suggest you call Greg who runs two houses out on the blue line 4 stops from the airport in Reevre Beach. The places are on Campbell, two blocks from the train station. Costs a buck each way. He rents beds on a nightly basis or for the price of a two night hotel stay in that area, you can get a whole month there.
Logans Crash Pad
no car needed
20 min to Logan
fully furnished house