Trust you to start with a toughie question. Personally I'd never try to make that second day interesting if it didn't want to comply of its own. I have to ask, though, how important is the fact that nothing important happens on the second day? Because that'll have a bearing on whether you could skip it or not.

If all else fails, you could, of course, always write about the second day and see whether it needs to stay or go in subsequent drafts. ^-~ (Yes, I'm hedging the answer completely with this.) I think I'd be most inclined to gloss or opt for the "Two days later..." approach if I could work it in. (I know it doesn't take a whole lot of effort to start a scene with 'two days later', but that won't always suit your goal.)