Lid stay question

It’s been a very long time since I posted something here, but I hope someone might be able to help me. I have just finished building this project and it has been an amazing learning experience and fun to build. In Paul’s version he added a gas stay to stop the lid tipping backwards. He screwed it into the frame of the lid. I altered the dimensions for my chest (I made a slightly smaller version). Unfortunately the frame of my lid just barely overhangs the inside of the box (only about 5mm). This means that I have to screw the stay into the panel. But: the panel is bevelled and therefore very thin where I need to screw the stay (too thing for a screw).
My question is if anyone has tips/suggestions for solving this. One thought I had is that I could glue a block of wood to the inside of the panel of the lid, thereby making it thicker, and screwing a stay into that. It would be a bit unsightly though. I don’t need a gas stay per se, and could also attach a chain, but then I’m face with the same problem of how to attach it to the lid.

The chest will be placed along a wall, so the lid wouldn’t be able to open more than 100 degrees as it is. but I still like the idea of having some kind of safeguard against it opening too far and ripping out the hinges.

I’ve attached a couple of pictures.

Any advice is much appreciated!

Robert