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Hi
Alistair is correct in that there is no relationship between the Swartzchild radius and the speed of any particle at that radius just as there is no relationship between a body entering or leaving the earth and the Earth's escape velocity.
Photons will of course travel at the speed of light towards a black hole but their orbits will depend on their approach angle and the angular momentum of the object in question (whether it is rotating). Massive particles will be affected in a similar fashion but their speeds will vary depending on their gravitational mass and and the aforementioned factors. As the particle approaches the speed of light any information pertaining to the particle will be redshifted out of existance in our frame of reference. Of course in the frame of reference of the particle it will be destroyed due to the effects of gravity.
To the best of my knowledge the only known possibility for ftl are theorised particles that are to this point a mathematical abstraction and the non localised effects of entanglement which in simple terms has thus far been explained by consideration of the different frames of reference of the entangled particles, which do not allow a meaningful transfer of data. I suspect either candidate has some way to play out as yet and dependent on reasonable experimental data which may be some time coming.
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