So what happens when matter, say a bunch of electrons, accelerates past c, into a BH?
Matter can't accelerate past c.
I can be quite dogmatic about this, so apologies to everyone I talk to about it, but the concept of relativistic mass is crap! The example of the photon is perfect - you can say that because a photon carries momentum that is must have a mass, and that mass is it's dynamical mass. If you think like this you will tie yourself in knots because relativistic mass is not a mass, it's an energy. Now I can practically hear you all shouting "mass and energy are equivalent" and you're (almost) right - mass is a form of energy but energy is not necessarily a form of mass. Mass is a very special form of energy that has particular properties - it causes a coupling to gravity and any object that has mass is constrained to travel at speeds less than c for example. A photon has energy but no mass, hence it travels at c and doesn't couple directly to gravity.
Photons do interact with gravity indirectly. One of my office mates is working on how curved spaces affect light propagation and the way it works is that you have photon self energy diagrams that look like this:
A graviton can nip in and interact with the electrons in the loop, which has weird effects on the propagation of the photon.