I have the same problem, when the On-Access Scanner is on, specifically the Web Shield, I am prevented from almost all Internet sites. I usually use Firefox , but this is true of IE also.
Also , I have to disable the INTERNET MAIL shield if I want to access my mail through Thunderbird.
I have been unable to find information in Avast's Help section.
I have McAfee Total Protection including a firewall on my computer , but it's about to expire and I have disabled it while trying out Avast.
I have installed Zone Alarms's free firewall and it seems to be working fine.
So if anyone has any suggestions or can point me in the right place to look for instructions, it would be much appreciated. I not a beginner at this , but I am also not into all the real technical stuff.
thanks for any suggestions.