[mabbo]

> I believe you could arrive to your destination and look back and see yourself before you warped - and maybe as you traveled - as the light catches up to you

That does sound like traveling faster than light, but I think there's a reasonable view that makes it not.

Suppose you traveled at some very fast speed around a black hole. It bends space time in such a way that you might, at some point, be able to collect photons that could be reconstructed into an image of you earlier in time.

In short, when space time is flexible and bending, there are paths in which you can see your previous self. An alcubierre drive is a means to bend space time.