Lightroom :: Map Screen - Assign Same GPS Location To Sparse Group Of Pictures

Let's say a have a buch of photos that have beeen taken at the same spot at different times. The pictures are scattered across the fimstrip and might even belong to different collections in the same catalog (or even different catalogs?). What is the best way to assign the same GPS coordinates to all these pictures using Map screen?
 
Of course, the direct way to do that is to carefully select all these photos in the filmstrip and then click the desired location on the map. This is problematic for more reasons than one. Firstly, it is difficult to scroll through the entire strip and pick out the pictures one by one. Secondly, if I acccidentally miss one or two pictures, I have to start all over again.
 
The better way would be some sort of copy-paste appproach: copy the desired location into the clipboard (from another image or straight from the map) and then paste it over the desired images one by one or, better, over groups of images. One feature that at first looks promising in this regard is the text entry field on the right that contains the GPS coordinates in text form. It is editable, meaning that I can copy the coordinates (in text form) from one image and paste it into the same field of another image. However, this unfortunately does not guarantee that the images will end up with identical locations: the image that received new coordinates might (and will) end up with a slightly different location on the map that the "donor" image. This means that the coordinates are stored internally with better precision than their representation in that text entry field.
 
So, what are the other options?