As far as I know I was running the latest version of Avast Internet Security, which I downloaded on the 3th of september. I'll try a clean install with the offline installer version provided from your link this time.
I didn't have the windows anniversary update installed, working on it now. I thought this update would've been automatically installed on my pc when it was ready, but apparently not.
I don't have any other security related software installed. This pc has only known Avast and the standard windows security.
No other problems with the system before the BSOD's started happening. Before I got my first aswNetSec.sys blue screen, I noticed my cpu being heavily taxed (up to and above 90% usage) after the first time I tried installing the Avast IS update (Program version: 12.3.2280 (build 12.3.3154.2)). PC became very slow to respond. This hasn't occured since I tried the reinstalling/repairing by myself before I decided to post here.
I've seen the rzudd.sys error once before this weekend, after deinstalling avast. Found out it was a razor driver and updated Razer Synapse, surprised to see it come back again though. Again, I manually tried updating all my drivers through Device Manager as well.
I'll come back with the results after finishing the anniversary update and the offline Avast install.