Ok, to reply to an old thread. What about turning your robot on at the door and driving it over to the square? You never have to expose more than head, torso, and arms to the bot. You are also already in the path of escape that way. The side benefit is that you can test drive the bot while driving it to the start square.
Also, place your transmitter flat on a surface with the sticks up so that it cannot fall over onto the sticks. If the transmitter is placed outside of the arena, the transmitter remains accessible and the robot cannot hit it if something bad were to happen.