Hulk has NOT shown that he can surpass the Strength of Superman or Doomsday. Yes, in THEORY he could, but as of yet he hasn't. To say he can do it EASILY is ******ed. If it was so easy, then why does Emil own him all the time? So, for now THEY ARE STRONGER. But no Hulk fanboy is going to admit that, so I'm just gonna let that go. You ignored the speed factor entirely. He took out the entire Justice League in minutes. The first few in seconds. The Hulk can't do that...
Doomsday is constantly evolving to overcome whatever it is he cannot defeat, or that hurts him. Dying at the hands of Superman made him MUCH more powerful when he came back. Even with the added powers of a Motherbox Superman couldn't defeat him a second time. A bruiser like the Hulk just couldn't hurt him now. Even if the Hulk keeps getting stronger, Doomsday will adapt. He has shown the ability to actual develop NEW powers that he has never shown before, like when he developed an energy field to defeat the radiant. He would probably develop some sort of power that would disrupt the Hulk's gamma enduced strentgh increases. Even if he didn't, the Hulk can't get stronger if he's dead or unconcious.
As to my comparison of Batman and Superman's education, you missed the point. You said Superman couldn't be smarter than Batman because he didn't have a Kryptonian education. My point was, neither did Bats, so that's NOT the deciding factor. In any event, Superman has access to all the knowledge of Krypton anyway, so it's a moot point. Batman has had help from his Wayne-tech guys designing most of the things he uses, so don't give him ALL the credit. Superman created a device that could send all the people on Earth to the Phantom zone. But, I'm not saying that Bats is NOT a genius, I'm just saying SO is Superman. Byrne tried to "humanize" him a little more in the Man of Steel run, but prior to that he showed genius level intellect. Birthright has retconned most of that back in again.