Simple hotel that should meet your needs
Overall Urbain Hiroshima Central is a pretty good hotel. It's pretty basic but not too expensive and has some interesting perks. There is a drink machine in the main lobby where you can get pop, juice, tea or coffee for free at any time. The included breakfast has quite the spread, changes daily and was pretty delicious. That said the rooms were just ever so slightly... off. It was pretty comparable to other hotels we stayed at in Japan but the room layout was just slight sub-optimal. Weird problems like having the light for the bathroom be outside the bathroom. behind a door that opens outwards is just a little less than ideal. The room was bigger than some other hotels we stayed at, but had an odd arrangement so we had a harder time moving around it and not tripping over each other or our stuff.
We were told about the construction work when we checked-in and were given the opportunity to use earplugs,but we did not hear any construction during our stay.
The location is about a 20 minute walk from Hiroshima Station (with no JR trains nearby). It is about a 20 minute walk from the Hiroshima Peace Park and Memorials as well, so reasonably good location.