If I'm gettin' the question correctly, it sounds like the question is something like this (in part):
"If we have a high-ISP, high-thrust drive that operates on sci-fi principles, what would it use as its reaction mass?"
Overall, this is a question that's near and dear to my heart, being a sci-fi geek - I'll share a couple of thoughts with the collective y'all.
So, what do we have that can act on spacetime in a meaningful manner, without an obvious reaction mass? Modified gravity, perhaps - I'm not getting into the technobabble that allows us to manipulate gravity, but if we put a point source in front of our ship, far enough out that it doesn't crush us, but close enough that we're pulled at a constant accelleration, we can move. Problem with this is that if we can move a gravitational point source, we can just move ourselves probably, and cut out the middle man.
We could perhaps hack something up using the background radiation of the universe as a "reaction mass". Of course, there's a very -very- little amount of mass to work with here (infinitesimal, even), but assuming sufficient technology, it could be used as a sort of a jet engine. Sort of like a Bussard Ramjet, but with the semi-evenly distributed background radiation instead of stray hydrogen.
So what if we skip the real physics altogether, and just go straight to technobabble? Well, we can pull spacetime into our engines and spit it out the back. Maybe toss "vacuum energy" into the mix for enough confusion that the only people who question it too much are the people who can be bothered to look into ZPE. ^_^
That would make it a sort of a jet engine that uses spacetime itself, eh?
How about a warp drive? That would require us to be able to surround ourselves with a bubble of another universe (essentially) where the speed of light is much higher, certain laws of physics don't apply, etc. AFICT, this is how Star Trek warp drive works.
Hyperdrive, you say? Pop yourself into another universe entirely, once again, where the speed of light doesn't apply, certain laws of physics are higher, etc. Closer to Star Wars, of course.
One I came up with all by my lonesome, what if we figure the universe to be coded in some sort of divine programming language, as per Artlav's signature line? I have a bug report! >_>
In any case, we could "set" a certain object's velocity vector to a certain value, with some sort of access to the source code and some sort of expenditure of energy to effect the change. So, say we set the value
v to .6c. And then we do something to the effect of
v +
c. Do we break the universe, or does it go on its merry way, since we skipped (way the hell) past the defined relativistic effects, and nothing bad is defined other than the effects of Cerenkov(sp?) radiation?
Infinite Improbability Drive? Go have a cup of tea.
(warning: This is a view into how randomly I think. Sorry about that, kids.)