I had my recurrent sim yesterday and I was presented with a similar situation. On take-off we had an engine 2 failure just before V1 and also an EIU failure on engine 1. So when you try to stop, you won't have auto-braking because engine 1 is stuck at take-off power. When you realize that you aren't decelerating you think of loss of braking, so you slam on the brakes. That won't prevent you from going off the runway. Luckily I glanced over the engine instruments once I felt no deceleration and was able to shut it down with the Master Switch. I barely prevented it to leave the tarmac but it's a nice one to have in the sim.
