Practically it is not possible to control an space/aircraft aerodynamically above about around 80 km altitude. That's why the US (Forces) define the needed altitude to get the Astronaut Badge as above 80.4672 km*.
*(strictly speaking it is defined in imperial units (50 multiples of 1.609344 km), as the Author of this answer I don't want to share a distance in a non-SI-Unit).
[..::EDIT::.. Yes, you can construct a situation, where drag influences an object, but that is far away from "controlling" it!]
Some spacecraft are designed for a special aerodynamic behavior (see GOCE), but that is not about controlling it but to minimize drag.
Reentry vehicles are often designed to be stable during reentry, but that works for much lower altitudes thus higher atmospheric pressures.
As you mention, you could maximize the effects of the control surfaces by being faster, but in orbital mechanics being faster results in being in another orbit. To be low but fast (needed to control something aerodynamically) would mean: you are in the periapsis of a highly eccentric orbit or you just pass Earth's sphere of influence. Even then the effect of aerodynamic control would be very small.