Even more fundamental: you'd need infinite fuel to hang out forever just outside the event horizon — once you're inside, the direction of the singularity is "future" not "forwards", so you can't resist getting there with any form of propulsion any more than you can resist getting to next Thursday with any form of propulsion.
This may be hopelessly naive but isn't the idea of GR that with sufficient fuel (and I suppose breaking some laws of physics) I can effectively postpone my experiencing next Thursday (here on earth) by moving away from earth at one lightsecond/second?
And to emphasize the above point, it doesn't matter which "direction" you accelerate towards; the singularity is in the future, and you are approaching the future faster the more you accelerate.
Even more fundamental: you'd need infinite fuel to hang out forever just outside the event horizon — once you're inside, the direction of the singularity is "future" not "forwards", so you can't resist getting there with any form of propulsion any more than you can resist getting to next Thursday with any form of propulsion.