User blog comment:Braumissomanly/Computers that can run league of legends at a steady 60+Fps?/@comment-5331854-20150311145330/@comment-4118289-20150311212415

I second the SSD thing. I have a 100 GiB SSD for OS and have put League on it. Loading timers went from a few minutes to under 75 seconds, updating is about 2-3 times faster on smaller patches. An SSD is not so expensive especially with your budget and requirements. My ~800$ rig runs League on 60 fps (I believe it's hard capped by my monitor) and I could pull an SSD, so you shouldn't have a problem.