Yeah, they should be fine, I had some left to freeze overnight most nights in winter and they hatched. I've also played 'musical eggs' like what's happening with yours. (I'd only discovered later on that the hen was leaving the nest every night, and I'd been very ill so couldn't actually get out there to remedy it often). But they were fine.
However being turned nonstop can twist the cords that hold the yolk in place and kill the embryos. Also you would do best to have her and the eggs secluded to prevent any nasty surprise incidents that occur if they hatch sooner than you expected. I have had eggs (whose brood start dates I recorded) hatch in 14 days. I'm careful, I mark the eggs and keep track, so that was quite a surprise! But, slightly more commonly, they can hatch from around 17 days onwards, though 21 days is by far the most common time. It depends on many things including breed.
I think the eggs are (if healthy) quite able to go into a suspended state even at later development stages, and be completely cold, without harm, as long as the chick's not yet started hatching. In my experience, anyway. I t may be of use to put a small bird cage with no bottom over the hen to get the others used to not laying there. But you'd have to supply her food and drink which isn't too wise on a nest, and the bird cage thing might be best done very close to the hatch date. Best wishes.
