Thanks for the comments. I'm not sure why the keyboard controls were not working for you in the browser. I'm able to use them on my machine so it might be something specific to your setup.
I'm still working on the character and camera controls, but am finding it to be a challenging problem. Part of the problem is Godot's physics system which makes it difficult to snap to surfaces. The features it has for snapping to surfaces have the unfortunate side effect of launching your character into outer space if you hit an object from the wrong angle, so you can't really use them. I'm hoping to improve the system with further development.