Choose Covent Garden area for your hotel. Lots of restaurants and central to transportation.
"I believe I have neighborhoods whittled down to Blackfriars (particularly interested in this because of Wolf Hall)"--First, this neighborhood is now mainly a financial district, and will not remind you of Tudor times or have the atmosphere you are looking for. Secondly, you will be spending hardly any time at all in your hotel, especially with one day devoted to Liverpool trip, and one or two of sightseeing. So go with a hotel that is near good restaurants and transportation.
You leave from Euston station in London to go to Liverpool, so you may want to stay near there for convenience, especially since you may get back late that night into London. There is a Premier Inn on Euston Street, one block south then one block east, from the station. I highly recommend Premier Inn; never have stayed at a bad one; always good.
You can always do just a "walk through" of Blackfriars. What is it that connects Blackfriars to Wolf Hall for you, anyhow?