The Item Finder you described is very popular after the Tile. Find it by searching for Wireless Locator Transmitter Receivers. It uses replaceable button cells, so you'll need to help your friend be a bit proactive about the batteries.
Maybe put (stick) a small cardboard tray on top of the monitor support.
When you don't want the camera on top, lift it off the monitor and put it on the tray.
(Find or make the tray by cutting-down an appropriate box.)
As an owner of a 3D printer, my first thought is to print a caddy, but that sort of solution isn't for everyone. On the other hand, if you have a conveniently shaped container that you can fasten to the back of the monitor with double sided foam tape, you'd have the equivalent caddy.
Even shaped cardstock or cardboard would be attached to the back in a shape ...
If the service is available in your locale, a tracking service has remarkable success locating personal property.
As the phone has the scent of your friend, through its personal contact while in use, a tracker can locate property by providing a sample with a similar personal odour. There are several limiting conditions including length of time lost, kind of ...
Nothing is impossible… if you can get someone else to do it!
It's time for some fun. How about a treasure hunt? Using different ways to gather a group of individuals, have sets of fresh eyes spread-out over the area where your hapless friend thinks is a likely choice.
A really talented animator can motivate a group with their sheer charisma; but, a less ...
Bible Proverb Hack: Seek and you shall Find
The standard gadget to retrieve a phone with little or no charge in a wilderness is… a metal detector.
If nothing else, a less-than-smart metal detector can locate a smart but temporarily dumb phone. A good metal detector is a fraction of the cost of a phone and can be used every time your careless pal decides to ...
The problem with a tracker is that its battery might go flat too, if the friend is in the habit of forgetting to charge the phone itself.
My hack is to avoid losing the phone or leaving it anywhere in the first place.
Attach a tether or lanyard to the phone, and the other end to a belt loop.
Some phones have a place to attach a tether, and you can also get ...
In this example, the product is a book that is 6 1/2 inches tall. Once you have a picture of it on your computer, You just need to do a bit of image editing, knowing that a standard printer paper size is 8 1/2 by 11 inches. Download, install, and run the free desktop version of Paint.net, then open your image in the program.
Using Image>Crop to Selection,...