This is exactly what I do to sanitize bottles....After drinking bottles of beer I rinse them out, 2 rinses and a shake. Then let them drain upside down till the next day, when I put them away in a cardboard case box.
On bottling day I gather enough bottles for a batch, dunk them a few at a time in a bucket of Starsan, and set them all to drain in Fast Rack trays. Then bottle.