Something to consider - MBTA is not the only option in Providence. My friend commutes on Amtrak. Less options but faster. With both train options (Comm rail and Amtrak) it's doable. (Btw posting FROM the comm rail right now although I don't do it daily).

Providence line is way more reliable than others, in part because it shares the track with a major Amtrak route.

Good luck with your decision but I say it is doable!!