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That's long, so I just read a little bit. I disagree that suspended animation is a form of time travel, but I guess its just semantics.
In any case, physics supplies a very simple solution along the same lines. If you travel close to the speed of light, time flows differently for those in the spaceship, so to them, they can travel as fast as their technology allows (greater than c in a sense). By that I mean that traversing a distance x always takes more time than x/c, yet the time measured by those in the spaceship can be made arbitrarily small. The speed of light limit is a limit within a consistent reference frame. If you mismatch things from two reference frames (earth-measured distance, spaceship-measured time), you can "go faster."
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