Hi,
Stopping a Web App doesn't save any money since charges still accrue even when it is stopped. What you can do instead is to write a script to switch it to Free SKU and back to paid SKU on a schedule.
In order to switch to Free SKU you must first disable features that are unavailable on Free. For example, remove bindings for custom domain(s). And naturally when switching back to paid SKU you need to add the binding(s) back.
Please check your Web App and see which features you are using that are incompatible with Free and add comment below. You can start by attempting to switch it to Free and see if you get an error. Most common off the top of my head are custom domains, scaling, vNet integration.
Thanks.
-TP