Ok, I've come up with some options. I don't want to force people to buy the whole booklet twice. And with modern scanners and printers we really don't have to.
Here is the existing page, as I designed it, with just the stamps:

This obviously does NOT preserve the booklet.
Then I thought this might be good:

Here we have a scan of the back of the booklet, and the booklet opened and mounted below it, so you can see the inside.
Option 3 was set up to show the inside and outside of the booklet, and allow you to mount the stamp in between.

Option 4 is the same, but the stamp gets mounted below the two pictures.

What do people think looks the best?