[Suicide Junkie]

Actually, they should not pull ships in at all!

Since even supergiant stars don't pull ships in, a black hole should not pull ships in.

If the earth was crushed into a black hole for some mysterious reason, all the satellites we have in orbit would stay in orbit for centuries.

Once you're in orbit, you stay in orbit. Since ships have stable positions in normal systems, they are clearly orbiting the star at the same rate as the planets.
If the ships do this in a black hole system, then they will not fall in, even if they have no engines.