Controller recommendations for phone in case?

I have a Pixel 6 Pro in a Poetic case (link below so you can see which one precisely). I want to get a controller for it, but it seems like most controllers don't fit on/around cases. I can take the case off pretty easily, I would just much prefer not to. I like the look of the Razer Kishi because it looks like it'll fit in a pocket nicely, which would be handy for the times I have to go places.

Anyway, any suggestions or recommendations are appreciated. If I need to provide more information, please let me know and I'll answer questions to the best of my ability.