Game freezes after a few minutes of playing.

Everything started smoothly, we picked our champions and went into the loading screen. After a few minutes I noticed that one of our teammates wasn't loading and I presumed I had crashed as I was talking with friends and they were in the game, when I was still in the loading screen. I closed the LOL process and relaunched the game. I attempted to log in and was greeted with the error 'Servers are busy' I retyped my details and clicked log in again and this time it accepted my details but it took a very long time with the message 'Logging in...' Once I got onto the menu I clicked reconnect and the client closed and the loading screen opened. After a few minutes of looking at a black screen the Firewall message appeared. I clicked retry but nothing worked. I closed the process to try again. The log in was still taking a long time but I managed to load into the game from the loading screen. I played for about 2 minutes then everything froze. I did not receive any message that I had crashed. I couldn't move and everything had frozen. The music still played and the timer still went on. I disconnected to see if that worked, I reconnected and a few minutes later of playing it froze again. I closed the process and began closing other process with it to see if that sorted it. I relaunched the game and yet again the log in took a lot of time. I reconnected and stood still to see if that was the issue. Everything ran smoothly and nothing froze. I typed in the game to tell the other team-mates I was having troubles (Ones I wasn't on skype with) As soon as I pressed enter my game froze. My friends said they received the in game message but I didn't see I had sent it. I closed the game once again and tried running as admin but nothing worked. Sometimes I froze 1 or 2 minutes in, and sometimes I froze 3-4 minutes in. It was completely random. As I mentioned there was no 'Attempting to reconnect..' message or even a bugsplat. It was like I had disconnected but with no messages or warnings. The game finished while I was disconnected, I logged back in to find that I didn't have the 'leave' next to the match history instead it said I was defeated which the team was.

Things I tried:

1. Uninstalling LolReplay/LolRecorder
2. Repairing the client
3. Closing other processes like Dropbox and Steam. I even closed the process which I use for my duel monitors which is called 'DisplayFusion'
4. Running the launcher as administrator.
5. Deleting the Logitech files in the Riot games folder.

The R3D Log is added as an attachment.