There you have fallen into a trap for yourself. If the apparent acceleration of an object falling to an event horizon does not appear to slow down for an external observer then in the reference frame of the falling object it will achieve superluminal acceleration since distance over time has to take into account the stretching of spacetime, the resulting extended distance and the time dilation due to the increasing gravitational field strength.

And there I suggest that you are also falling into a trap.

You are mixing the effects of SR, (speed and dilation due to speed) and trying to add to them the effects of gravity as per GR.

I am suggesting that the two effects do not add up together. You are either traveling Geodesic, which means you are not resisting the acceleration due to gravity and remain in free fall, in which case to an outside observer you are seen to accelerate and thus your speed is continually seen to be increasing, or you are resisting your geodesic by whatever means and as such feeling all that gravity acting on you, in which case to an outside observer you are not moving in relation to the event horizon and you come under GR for the relativistic effects of the process of feeling that gravity.

I am suggesting that the second scenario is impossible as nothing we know of can resist that amount of gravity, so GR gravity equations do not come into play.

This leaves us with the free fall scenario, and this to an outside observer is a purely SR scenario of speed.

For the observers falling they are always in free-fall but as their speed increases their clockrate slows. They never go superluminal. They never feel any gravity. The GR effects of Gravity never come into the observations or calculations of either outside or falling reference frames.

The falling observers, by the time they become relativistic, which in this environment would not be long after being dropped, do not experience enough time to know or measure anything, let alone going superluminal.

And of course the outside observer sees them quickly reaching a speed very close to the speed of light as they disappear into the event horizon.

An outside observer can see nothing else as the speed of light has to be seen to be constant. There is from the outside observer's reference frame a measurable distance to be covered and light has to be seen to cover that measurable distance in a measurable time at the speed of light. You can not say because a photon's clock is frozen which it is that light is seen to stand still in any situation, so how can you say that an observer traveling at 0.9999999999999999..... the speed of light because that observer's clock is almost frozen that he can be seen to travel at anything other than 0.9999999999990000.... the speed of light.

GR's relativistic effects apply to an observer experiencing gravity. Not to an observer in free-fall.

As an example take the Muon experiments. A Muon created in the Earths upper atmosphere, travel's towards the ground at close to the speed of light. Consequently it's clock-rate is extremely slowed down. On it's way down it also undergoes acceleration due to the Earths gravity. When we work out how far this Muon will travel, GR is not referred to at all. It's speed is all that is necessary to tell us by how much it's clock-rate has slowed, and knowing it's rest lifetime we can work out how far it will penetrate into the Earth before dying.

The fact that it's clock is getting close to stopping does not mean that we see it's movement almost stopping. On the contrary. It's speed is seen to increase a little due to Earths Gravity.

Observed clock rate is inversely proportional to observed speed, especially when falling into a Black Hole. The slower we observe an observer's clock-rate as that observer is falling towards an Event Horizon the faster we observe that same observer's speed at which they fall towards the Event Horizon. Until they very quickly disappear when they reach it.

I know that there is a lot of material out there claiming the reduced clock rate is equivalent in some way to physically slowing down from an outside observer's reference frame, but they are wrong. The mathematics do not support this view. It would only be true for something hovering above an event horizon, and in this Universe at least that is not possible.

Hope that helps..