Have you tried disabling "Scan secured connections" for the Web Shield?
Personally, I always have it disabled (until Avast! can figure out how to make per process exclusions instead of domains), I know how it works and I don't like the way it works, it's basically a hack, what would equate to a MITM attack but for a good purpose, but somewhat unreliable except for e-mail.
In terms of the ratio between security and convenience, it's too inconvenient at this stage for the security benefits it provides (don't forget you still have the File Shield as another line of defense).