I'm looking for yuri, that in the "hardcore" category. The best comparison to what I'm looking for is to compare it to "bara yaoi". Something that isn't "girly" or has too much focus on emotions. I also not that interested in ecchi/smut types either.

So my real question is: is there that type of yuri out there?

If so, please name as many as you can

Isn't this easy? Just search for the genres "hentai+yuri".

The only thing that comes to mind is Maka-Maka though it does introduce some themes of emotion. Kinda smutty.