[SalesForce] Embedding lightning component in visual force page

I've managed to get a simple Lightning component working in a VF page using the following link: Peter Knolle: Lightning Components in VisualForce It was listed in the links that I checked, but I didn't use any of the code, just used as a source to check against what I was doing.

When I did an almost direct copy/paste (a few lines removed because fields didn't exist in my Org) into Salesforce, everything worked as expected and I had a basic Lightning component in a VisualForce page, which I was able to add to my page layout.

My initial thought was to use a javascript button to inject a modal but that wont work with a lightning component.

A tiny bit of research pulled up this:

Lightning Alternatives to JavaScript buttons

Which goes into detail on how to avoid using JavaScript buttons - which ironically includes custom related list buttons - but it doesn't seem to cover your specific use case. It actually advises not using javascript buttons and using lightning component quick actions instead which you have said you tried and that it works but it doesn't provide the exact experience you're looking for.

The last thing I can think of is that you can hide the related list from your page and build a lightning component that looks and acts like the same related list. This will allow you to add a button that could then pull in your other component.