Best CSS Framework for LiveView?

Yes, but when making this choice you have to look into the question “is it going to work well with my JS/nojs/backend thing”.

When it comes to “best CSS framework” for LiveViews, I will re-iterate what the others said above: the ones that do not require or rely on JavaScript at all will be probably “best”. The same when you choose CSS framework for say Angular, and the CSS you chose has nice modals but only with jQuery support, you should expect some extra work to be done, or some extra figuring out how to do the same thing jQuery bindings do on your own. Same with LiveView. Pure CSS framework with no requirement for JavaScript to get full funcionality would be my preference.