Mordaunt also has a military background, as does Tugendhat.
A successful Conservative leader generally needs to have been working the backbenches and bars for a while and to have built a network of supporters. That was one of the things that did for May who was considered cold and aloof by some.
They’ll pick someone that appeals to them, not necessarily the electorate, so I don’t expect a wildcard. It will either be someone who has been in Cabinet who has connections or someone from the benches who has built support. Might start with a Grand National field with many coming a cropper at Becher’s Brook.