I agree with Doug, that the Hstab should be of sufficient size and incidence to counteract a high thrust line. However, I do take issue with the idea that once the stab stalls, "it's all over."
Without drag there would be two ideal angles. One is 45 degrees and one is about 15 degrees.
These angles produce an almost equal coefficient of lift for an NACA 0015 (symetrical) airfoil.
15 degrees = CL 1.1 45 degrees = CL 1.05
The 15 degree CL is based on the way lift is normally made by an aircraft wing, a combination of Newton's Third Law and Bernoulli's theorem which says air is accelerated over the wing and decelerated under it, causing a low pressure area above the wing and turning the airflow to produce a downwash.
The 45 degree CL is based on 'Flat Plate' lift where air is just deflected off the bottom surface.
But drag does exist and matter: The coefficient of drag for 15 degrees is 0.1; for 45 degrees, 1.1(more than ten times greater)
Lift and drag act 90 degrees to each other. Right after the maximum coefficient of lift is achieved (in the example airfoil, 16 degrees). In this case the coefficient of lift rapidly goes down to 0.6 and the drag increases.
In a plane, stall of the wing is a bad thing. Lift is reduced( but not eliminated) and drag continues to increase. The aircraft loses speed as a result of the increased drag. Loss of airspeed causes further reduction of lift.
On a gyro Hstab, we are not concerned with lift of the airfoil so much as the moment of force that it can produce. These are different things, because lift is defined to be perpendicular to the relative flow and that means lift acts vertically when the aircraft travels horizontally.
However, at high angles of attack drag actually acts as a beneficial agent in that it is trying to restore the gyro to level by acting on the moment arm of the stab.
At 90 degrees(nose of the gyro pointing straight down) the airfoil is a pure flat plate at 90 degrees to the wind and it is making no lift, but lots of drag. All the drag is acting to lift the nose. The coefficient of drag of a flat plate is 1.28
https://exploration.grc.nasa.gov/education/rocket/shaped.html
This says that the stab actually produces more force when it is making drag than when it is making lift. We don't care which it is making, as long as the force is in the desired direction to tend to restore the gyro to level.
An airfoil shape has less drag at normal angles of attack compared to a flat plate, but both will make lift. The difference isn't so much in the lift making properties as in the drag. As long as the leading edge is rounded and not blunt, a flat plate stab is probably just fine.
At low aspect ratios, the lift vs AoA curve of a flat plate is very good. (Damping is also an important feature of any stab and that is more a function of moment arm than of airfoil shape.)
To use a sailing analogy, you might change your headsail from a genoa to a spinnaker when reaching and running(downwind sailing.)
The spinnaker catches wind like a parachute and uses drag to propel the boat downwind. The stab shifts from becoming a "genoa" at low angles of attack to a "spinnaker" at high angles of attack.
Stall is usually misunderstood to mean a sudden lost of lift, when actually the CL beyond stall AoA may be significant. Its just that drag rises exponentially with AoA and this is bad for a wing, but maybe not an issue for a stab.
I'm not much of a sailor or an aeronautical engineer, so I look forward to being shot down, but so far, no one seems to have picked up on this idea that stall of a stab may be not something to get too worked up about.