When you watch Shin Godzilla, you come out thinking Toho will be more susceptible to an auteur's touch in the future, but then you read the behind-the-scenes stuff, and realize that was nearly all by accident. Hard to gauge what direction Toho will go with because of that. However, I can't just see them doing another reboot after Shin Godzilla. It was too successful.
Between Anno and Urobuchi, Toho is going with people who have clear creative visions. With that said, Takashi Miike isn't going to make a Godzilla movie. He was one of the guys in the running for GFW (if I remember correctly), and despite being at the peak of his creative powers, Toho went with Kitamura. He's become much more of a journeyman director since then. He doesn't write his own scripts. Also, I can't imagine they'd give such a large project to Sion Sono, besides, he's already made a kaiju film.
Of all possible choices, I like Shinya Tsukamoto the best. He made it clear that he has an idea or direction for a sequel, and he's a legitimate talent. I would also like to see Kaneko return too, if only for old time's sake, but I just don't think it's super likely.