I don't understand what you mean with "character", then...
The character is nopt to be searched between your room's wall, but outside, cause Rome is a city to be lived wandering all around.
Raphael is a very good choice, a minute walk to piazza Navona in a very quiet, reserved and intimate ambience: a former italian Prime Minister used to live there...
My suggestion (if you are not deeply involved with miles/points obsession and if you are going to stay a while) is to take a more relaxing staying in Aventino quartier(FYI the place I love the best - you can find 3 hotels with good rates at www.aventinohotels.com): a very quite zone facing Palatino hill through Circo Massimo, just outside the main core of the city (1/2mile) and within little walking distances from underground/bus. It would be a little uneasier than staying at piazza Navona, but, I repeat, I did not understand what you are seeking out in Rome.
And did you know something about the astonishing view from "Cavalieri dell'Ordine di Malta" entrance door's keyhole?
That's worth...
Trastevere could have the character you're searching for so you can hop on www.paginegialle.it and enter "albergo" in the "cosa" field and "00153" "dove" field: it would be shown a great number of hotels in a wider part including Aventino, the new and the old Trastevere.
Enjoy Rome you all
Antonio