All-axis control of aircraft in ultra deep stall - Patent Shows that the aircraft is stable in deep stall, that deep stall rapidly reach (<1sec) from many flying conditions and that the airplane is controllable in pitch (elevator), in yaw (using the rudder... but I assume you need some forward velocity or propwash to achieve that) and somewhat controllable in drop rate (control the pitch to orient the thrust) and in the forward direction.
Used a 1/4-scale flying model of a two-place, general aviation aircraft similar to the Piper PA-38 TOMAHAWK for wind tunnel experiments.
Repeatable, precise approaches were made with spot landings at the pilot's feet ...
The horizontal tail was clearly capable of providing stability and control for angles of attack to at least 63 degrees and most likely to about 70 degrees for the reference moment center at 0.25C
In summary, the static lateral-directional data show that the configuration is stable and that there is control available for maneuvering. At angles of attack approaching 90 degrees, these control moments are not of the magnitude or direction normally experienced in unstalled flight but could be used for orienting the airplane in the desired direction with modified piloting techniques
With T/W of 0.25, they estimate that a full scale model would be able of descent rate of 0 at alpha = 15 degrees and 4300 ft/min at alpha = 60 degrees (corresponding to a flight path of -15 to -62 degrees from horizontal).
Flight Characteristics of a Manned, Low-Speed, Controlled Deep Stall Vehicle Shows that it is possible to attain and stabilize a pitch angle from 30 to 72 degrees but that poor lateral stability (control of bank angle and sideslip) was present at angle of attack above 60 degrees. They identified the control derivative of the airplane.