Interesting topic.
Let's say you only take the focus object's frame of reference (FoR) into account, what would happen to the "universe" (time, distances, masses)?
In this same FoR, what would happen to the object's properties (time, distances, masses)?
IIRC, time on universe should be slowed down, distances parallel to the relative motion shortened.
For the object itself I only know that time and distances should stay the same.
So simulating relativity would not change the VC or on-board time. Instead, the "universe" would have to be slowed down and "shortened" in the direction of flight.
What about the masses? "Mass is getting bigger for the object, thus c can not be reached" always confused me, since Einstein himself refrained from the concept of invariant masses and instead focussed on energy and momentum.
So how can the lightbarrier be explained from the POV of the object itself? I suspect the Lorentz operations would be applied to the observed object's (the "universe" in this case) property as well, so every mass in the universe is getting bigger, not the mass of the object as observed as rest mass from observers in the FoR.
Mind you, I'm talking about observers in the FoR itself, not observers in the "universe". Those would see mass of the object increase, therefore no-go for warp 1.
In the end, I think simulating relativity would not change anything for the focus object itself, but the view to the "universe". I think there would be no lightbarrier for the object, because observers in this FoR will indeed reach there destination faster than with lightspeed, just not observed as higher velocity, but as "flying through contracted, slowed-down space with increased masses".
EDIT: Of course Doppler shift needs to be calculated, too, otherwise the twin paradox would really look... well... paradoxal. I think this together with the other non-isotropical effect - length-contraction - would make the really hard part for implementation. On the whole I'd say it is far from trivial to fully implement even only special relativity.
That said, I'm no physics major, so feel free to correct my assumptions...
regards,
Face