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The shader ecosystem on the web is definitely not led by visual scripting approaches, but some exist. You may need to buy into also using a game engine, since that's the most common use case. Also, I'm aware that the React Three Fibre folks (https://github.com/pmndrs/react-three-fiber) are working on a visual editor, but it seems like that's not dropped yet (and I'm not sure if it's for shaders).
- https://nodes.io/ seems to be closest to what you're looking for, and certainly looks the most polished. Their visual scripting / node editor is pretty good, but I don't know how it integrates with / overlaps onto three.js
And the engine is open source https://github.com/polygonjs/polygonjs , if that helps.