I've never used Linux Mint before, mostly just Ubuntu, but have you tried using Wine? Pretty sure I had League working through Wine on my Ubuntu box. I know WoW and Hearthstone were working with it.
Could check out here and see if you can find anything of use.
I've used PlayonLinux before and to be honest it usually just ends with me being frustrated. Sometimes you get lucky, and sometimes you don't.
I've never used Linux Mint before, mostly just Ubuntu, but have you tried using Wine? Pretty sure I had League working through Wine on my Ubuntu box. I know WoW and Hearthstone were working with it.
Could check out here and see if you can find anything of use.
Thank you for that link! It shows a gold rating for Mint 17 so I guess it's worth giving it a shot.