Blymath, like some others here, we stayed near Termini, just a block from Santa Maria Maggiore. It's a basic, clean,
well run convent stay (listed in monastery stays) with a decent breakfast. We found several local restaurants nearby, as well as a great gelato stand in the next block. It seemed like the neighborhood was full of locals, which I liked, after being a tourist all day.
Christine H., we stayed there at the end of October 2019. We found it to be a quiet, clean and comfortable stay. The staff were very helpful, and I'd stay there again.
It's on Via Cavour, I did not find it gritty, but just not as touristy as other areas.
https://dnbhotel.com/en/
Have a great trip!