  We extend previous work on 3D black hole excision to the case of distorted
black holes, with a variety of dynamic gauge conditions that are able to
respond naturally to the spacetime dynamics. We show that the combination of
excision and gauge conditions we use is able to drive highly distorted,
rotating black holes to an almost static state at late times, with well behaved
metric functions, without the need for any special initial conditions or
analytically prescribed gauge functions. Further, we show for the first time
that one can extract accurate waveforms from these simulations, with the full
machinery of excision and dynamic gauge conditions. The evolutions can be
carried out for long times, far exceeding the longevity and accuracy of even
better resolved 2D codes. While traditional 2D codes show errors in quantities
such as apparent horizon mass of over 100% by t = 100M, and crash by t = 150M,
with our new techniques the same systems can be evolved for hundreds of M's in
full 3D with errors of only a few percent.
