Program to Help Order Undated Photos

I have a large number of photos which have the correct DateTimeOriginal set in EXIF.

I have about 300 photos for which the DateTimeOriginal is completely wrong. The DateTimeOriginals of these photos are not correlated, so I cannot change their time en masse. It must be done individually.

I'm looking for a program that would essentially allow me to drag and drop the incorrectly time stamped photos into their place in the sequence of correctly time stamped photos. It would be nice to then be able to have the DateTimeOriginal tag updated, or the photos renamed chronologically.

Thanks!