"If you passed through a black hole but only spent 1 micro second under the influence of the forces would you survive?

Would it be enough time to destroy a ship?"

It's an interesting question. I think if you shorten the time enough the forces could be practically negated. The formula is common enough Distance = Aceleration 1/2 times Time squared.
for instance 100 gees (980 meters/second/second):
1 sec distance traveled 490 meters
.1 sec distance travelled 4.9 meters
.01 sec distance traveled .049 meters (4.9 cms)
.001 sec distance travelled .00049 meters (.49 mm)
Velocity = Aceleration times Time
980 m/s in 1 second
98 m/s in .1 second
9.8 m/s in .01 second
.98 m/s in .001 second
So it seems to me that if your head and feet were acelerating at 100 gees away from each other but this only happenned for .001 seconds, you wouldn't be ripped apart. You might even survive for .01 seconds.
With a black hole you are dealing with tidal forces (I think I remember reading that the bigger black hole and the bigger the distance to the event horizon the less tidal force you would experience {at least at the event horizon}.

Ok so the speed of light is around 300,000 km per sec, so not allowing for your time dilation, outside observer see you only going 300 km in .001 second [if you could go the speed of light and add the affects of time dilation, in .001 seconds of your onboard clocks you could go across the galaxy].
Let say you going a more reasonable speed say half the speed of light- 150,000 km per sec before adding in any velocity from gravitation of the Black hole or speed relative to anything in the system. Now say you entering a "star system" composed of a massive billion sun mass Black Hole and another Big Black Hole which is in orbit around this massive Black Hole. Let's say the Big Black Hole orbital velocity is 1/2 the speed of light. It seems you could have a trajectory that allow you to go relative to the Big Black hole the speed of light, but relative to the Massive Black Hole you would going around 1/2 the speed of light. It seems possible that by taking in to account the effect of time dilation you pass through a Black hole so that the tidal forces won't have time to rip you apart.