As you will be shooting B&W I'd imagine that on sunny days you will have a filter on for skies. If so then TMax 400 would be a good choice. At this time of year especially, you can work on sunny f11 so 1/400th with no filter and even a yellow is 1/200th. I cannot really imagine circumstances where the need for f16 conflicts with TMax 400. Quite the reverse. If you shoot handheld and need f16 then TMax 400 will give you a shutter speed sufficient to avoid any danger of shake which a slower film might not, especially with the likes of a green, orange or red filter
On very dull days TMax400 can be shot at EI800 with same dev time so there is some margin there if light and subject matter require it.
TMax400 sounds like a good choice to me