Urgent need of housing

Really in need of housing starting March 05, 2023.  Looking for a month to month sublet, room for rent, or a studio / apt under $2,000 for me (Christian female in late 30s) and my 3 year old son.  I have to stay in the Boston area or within reasonable commute via public transit due to having to do pick up and drop offs for my son two days per week at his fathers place in Boston.  Any leads appreciated, even if it’s extremely short term.