Have there been reports of bikers being mugged in that area?? Would you be riding during heavy traffic times so you would be visible to drivers in case something Did happen? If it's a main thoroughfare I'm guessing you would be left alone - most muggers don't want an audience. You could also call the police station near there and talk to them - see how many biker muggings have been reported in the past year or so. They also might be able to suggest an alternative route - especially if they have a bike patrol.
Life should NOT be a journey to the grave with the intention of arriving safely in an attractive and well preserved body, but rather to skid in sideways, champagne in one hand, strawberries in the other, body thoroughly used up, totally worn out and screaming: "Yeah Baby! What a Ride!"