A simple white would be my choice. Paint and floors can only do so much work in a room. I like BM Swiss Coffee, personally.

Yes, Swiss Coffee! I used it in the basement of our last house. We needed bright, but I didn't want inside-the-refrigerator white. Excellent, option, thanks.

BM Alabaster seems to be trending.

I really like BM Manchester Tan. We used it in both of our DD’s co-ops. No matter the exposure, it looks good.

We also used it in a basement.

I see Manchester Tan described as yellow undertones. I am tone deaf. Will that further accentuate the orange floor, or subdue it?

Edit: I like Alabaster. A hint of color but not too much.

Definitely Swiss Coffee. Beautiful!

I think an off white will appeal to the most people.

However, if you did want to do a tint of color Sherwin Williams Glimmer 6476 would be pretty with the floor.

Just a little tint.

Does the Glimmer read as green as it looks?

Glimmer looks like a very cool toned icy green on my monitor.

I am not sure how light or dark you would like to go with your wall color.

I think your floors look beautiful! Swiss coffee is a very nice color.

Here is a link to a video where a man paints his walls, ceiling and trim Swiss Coffee.

I would use a light gray, perhaps something lighter than Agreeable Gray. Orange and gray and white is a great combination. And no matter what you do it won’t go with anyone’s furniture, but as gray is still so popular I would stick with what people like and expect.