I love the name “file picker-upper” … lol.
You could create a nice neat folder with the latest INDD file and actual final images that are used in two ways; one is mid-stream, and one in the end, from a final, signed-off INDD file.
Midstream: With the latest INDD file open, do a Save As and save it with a new name *in a new folder.* Then with that saved as version open, go to the Links and select all linked items there via shift-clicking. Finally, go to the Links panel menu and choose Utilities > Copy Links To, and save them to your new folder (I usually create a new folder here called Links and save them inside it.) Now you have one INDD file and all the images it’s linked to, and no others, in one folder.
In the end: Make sure you have the final INDD file open and all the Links are up to date, none missing. Then choose File > Package, create a new folder and location, and at the bottom of the dialog box, opt to “Copy Linked Graphics” and “Update Graphic Links in Package.” Then click okay. The Package command is normally for creating a single folder with all files required, and then you hand off the folder to someone (a freelancer, a commercial printer) for them to use. But you could of course run the Package command any time you want a “fresh” complete folder.
AM