You might have more success if you created a set up that allowed you to push harder.
Hold the ring by the shank in a wooden ring clamp with a screw. Then rest the bezel against something fixed, such as a bench peg, or the edge of the bench itself. This will allow much more heft.

Use a plain ended bezel pusher, the end roughened a bit with sandpaper to stop it slipping.

You can also recruit a partner to do the holding, while you use a plain setting punch and a light hammer. Concentrate first on four opposite ponits to hold the stone, and then refine the setting.

The punch can be made from a piece of steel rod, or even a six inch nail.

https://www.cooksongold.com/Jeweller...B&gclsrc=aw.ds Dennis