Every hen is an individual, so I cannot be positive about your hen. But in general, putting a hen in a crate does not stress her enough to make her stop laying.
Depending on how many other hens you have, you could put each of them in a crate until you check what their eggs are, which means any...
Can you put her in a dog crate or other pen, inside the run? Provide food, water, a nest, and of course protection from sun & rain.
If she is laying the eggs you think, then you will be able to let her back out after the first egg, because then you will know those eggs are hers.