1. It may just be the dates, or that you're looking for too close of a connection. You can get a great hotel in downtown Boston for $70 on priceline, so consider staying over a day.
2. If all else fails, look into flying into Providence and picking up the Bonanza bus to Boston. But, you've got to allow yourself a LONG time to make it to Logan from Providence, as it's 60 miles away.