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Probably limited a small bit by structural strength, i.e. more acceleration means a stronger and heavier structure. For manned rockets, the G forces are even lower to accomodate the astronauts. So I'm assuming that even lower accelerations are only possible if you trade off fuel efficiency.
The simple answer is Yes, the gastric juices will float while the astronaut is in 0-g/micro-g. It has to float, just like the rest of the body and everything else around the astronaut. But I don't think that is a sufficient answer. The stomach has muscles that form a circle and can open and close that are called sphincters.