Reflections over a large indoor surface

I'm struggling to get reflections looking good across a fairly large indoor surface. Admittedly, maybe there's no good way to do this, but I'm curious if anyone has any suggestions. The basic issue is: A single Light Probe looks bad from lots of directions, while using lots of light probes causes a lot of duplication of light and also looks bad. I haven't yet found a "sweet spot".

The room I'm lighting has a reflective/metallic floor, and several lights on the ceiling. Here's an example with all reflections disabled:



If I try to use a single Reflection Probe for this whole area, it sometimes looks good, but often I get stuff like the following, where the reflection data was captured very far from the player, so I get light reflecting I can't even see. For example, notice the green light reflecting from the door the player can't actually see:



I tried covering the area with lots of reflection probes, to see if that helped, but then I just get repeated light. For example, here's that same door again with lots of active reflection probes. Notice how the door's green light is appearing once per reflection probe:



I'm not sure whether there are any other approach I can try here. I'll most likely just go with the "one big reflection probe", for performance reasons, and just accept the unrealistic lighting in some cases. But I'm curious if there's something else I can try.

 

You'll probably want some form of planar reflections.

This one is free and handles roughness and normals.
https://github.com/keijiro/AdamPlaneReflection

Then there's the old school "duplicate upside-down geometry" method.