As awful as the show was, I still think Diana gets in for costumes. The costume design was spectacular and the Tonys love William Ivey Long (and have continued to nominate him even after the allegations against him became public).
I think Sunset is a near lock for Score and Scenic Design (Scenic Design because they love to nominate shows at the Beaumont, especially with heavy projection use, and Score because there aren't many other choices) and I have a feeling Carmen Cusack gets in as well, but that's not nearly as certain.
I think the most likely goose eggs are Pass Over, Birthday Candles, Lackawanna Blues, Macbeth, Thoughts of a Colored Man, Chicken and Biscuits, and potentially POTUS (although Rachel Dratch is looking more and more likely for a nomination). But I'm sure there will be plenty of surprises.