I haven't shot any film in decades, but Ilford used to make very good B&W film. It was a very close second to the Great Yellow Father IMO. I tended to prefer the 100/125 ASA B&W films, but the 400 ASA offerings were very popular back in the day. It all depends on how you feel about grain in your enlargements, and how big you blow them up.
If you are going to shoot much B&W film, I think it would be worth getting into developing your own, and scanning the negs. You probably already have a scanner, and the rest of the equipment is not terribly expensive. A tank and a thermometer are pretty much all you really need, besides chemistry. It's nice to have a dedicated timer, but your cell phone or a wall clock work fine. Tank clips make hanging negatives for drying easier, but you can get by with homemade alternatives. Some like using a changing bag for loading exposed film into your tank, but a well darkened room works fine. Just make sure it has no light leaks. A bathroom or closet with a towel stuffed under the door work.