I'm sorry to hear the combo install or any of the other fixes didn't do the job. The reason you can't re-install Java is because in your receipts folder, there's a file there that tells OSX it's already installed. What you need to do is remove that file so you can re-install. See the * NOTE: at the bottom of the 1st link in suggestion 2. above. It shows image samples of the receipts folder & the Java versions listed.
BTW did you try the Jum version?