I guess you'll have to spell it out for me as it's not so clear to me that turning gravity 'off and on' would translate to an effective drive.
Only thing that comes to mind is that the ship generates gravity forward of the ship and the ship 'falls' towards the artificial gravity. The classic 6G limit then becomes whatever the limit is to generate that much gravity, indeed it starts sounding awfully Alcubierre.
If one had a drive capable of that, then that would make for quite a potential for defending against missiles and possibly creating confusing signal returns for enemy sensors.
First pass at the problem:
Assume a box containing a 1-ton mass mostly loose within it, with a large compression spring between it and the top of the box.
Turn on artificial gravity in the "upward" direction until the spring compresses. Turn it off, let the spring expand and apply its force to the top of the box and drive the 1-ton mass downward. Turn artificial gravity back on again, and repeat.
This is a reactionless thruster.