I've been doing this for years. Almost any 400 speed film is both slow and fast enough for varying conditions. You can also push it a stop or two, also, in case you are in especially low light.
I've used a few on my long-running project (reservedatalltimes.com) -- I really like Neopan 400 but that's a personal preference for razor sharp, pleasing grain. Many thing Tri-X has that as well.
Also have used TMY which is great, in terms of grain, tones, etc. Much will depend on your personal preference for grain and tones, as well as the developer you choose, also.
Which is why I'm keeping my recommendation to a 400 speed B&W film.