You can only take responsibility for changing your behavior. That does not include trying to take responsibility for his behavior by creating an environment (against your natural inclincations) that attempts to render such "cheating" amazingly unlikely due to his sexual repletion. He's a big boy; contacting other women online for sexual activity (however virtual) is totally out of line *regardless* of what you're doing or not doing. IMHO.
Kudos for taking on your part of this, but don't take on his part too.
"Show me a completely smooth operation and I'll show you someone who's covering mistakes. Real boats rock." -- Frank Herbert