I'm not quite sure I understood your comment, the speed of light is constant with respect to all inertial frames of reference. So, from that point of view, it is a constant and absolute figure (as far as we know!).
As we approach the speed of light, it is as you say, and asymptotic in behaviour with a problem at v=c. To do the faster than light part, we would need to do a bit of leap of faith and jump over the problem (that bit is for the engineers!). The mathematics allow for faster than light objects, as long as they don't cross back down (again, it is a question, if this is an artifact of the modelling or actually a real thing). The crossing point is the problem if you are planning to traverse the entire space in between the two points.
This is from memory, it was a while back! and things might have changed significantly since I learnt it!
I am trying to say that although we may be travelling at say 230k m/s according to the instruments on the ship light is travelling at 186k m/s faster according to the same instruments. To the outside observer we are both travelling at 186k m/s. Not only time is compressed but distance and defacto velocity. ie. We can travel faster than 186k m/s but not travel faster than the speed of light.