I have booked a double room in the Pantheon neighborhood at Bed & Breakfast Al Pantheon con Thomas Mann (Via del Pantheon 57) for two nights at €167. Although, the neighborhood is fantastic, the B&B has got some negative reviews regarding the service, building condition, room, breakfast quality, etc. I'm now considering whether to stay in Colesseum instead at Bed & Breakfast Domus Diana (Via Mecenate 27/A) with better reviews and for €110. Based on my 2-day plan below, I'd like to get some thoughts, opinions, suggestions, etc.
Day 1 - Arrive at Piazza Barberini around 10AM. Probably check my bag at Termini and do the "Caesar Shuffle" from the Colosseum to the Forum, Mamertine Prison, Trajan's Forum, Capitol Hill, and Pantheon. At night, Walk from Campo de' Fiori to the Spanish Steps (or maybe half). Pick up checked bag from Termini (what time does it close?).
Day 2 - St. Peter's Basilica, dome climb, and Vatican Museum. Maybe National Museum. At night, Maybe walk the other half the Campo de' Fiori to the Spanish Steps walk.
Day 3 - Leave from Termini for a 1PM flight.
Thanks in advance.