You can always open an additional window view of the same document and have these views side by side. You can easily drag items from one side to another.
In the mean, I've written a script that just might make life a bit easier: MagicObjectSwapper.
There is nothing really 'magically' about it (unless you don't know how to write scripts); it puts a 'marker' in the Script Label of the item you have currently selected, or — if it finds an item with that particular label — it asks you if it should swap the two around.
You can also remove the marker, but it's really not necessary. If you want to mark another object, it'll automatically remove the previous one.
A few trivial notes:
1. It only, and exclusively, works with items that are placed immediately onto a page (or master page, as it happens). It does not work with objects inside other objects. I probably could add that, but it may lead to a whole new snakepit of probable problems.
2. It doesn't work cross-document. As in the previous point, it can probably be added, but I just didn't feel like it. Besides, copying between two documents is fairly easy already.
3. It doesn't really check if the object you are moving around is locked. No idea what will happen if it is. Probably the script just stops with an error.
4. It's layer-illiterate. It doesn't know layers, doesn't remember layers, and doesn't care about layers.
5. There are a few other utilities that use script labels (sorry, was it APID? Numb brain to-day). This script might accidentally overwrite a label that was used for something else. If unsure, open the Script Label panel and click on a few items. If you see data appear, you were apparently using something already.
The script is a bit too long to post verbatim, so I'll just give you the download link: https://www.jongware.com/binari…..wapper.zip
Enjoy!