Autogyro rotors and helicopter rotors don’t operate in exactly the same fashion,
the gyro blades flap up in the front when the aircraft is moving forward.
The reason that earlier gyros have wings etc. is because the rotor had no
directional control function, the ailerons, elevators and rudder of the fixed
surfaces were used for control. The fixed surfaces and controls were blanked
on landing producing a complete lack of control which is the main reason for
the common rollover on landing accidents.
The wingless ‘direct control’ types tilted the rotor for directional control, this
was accomplished by a simple control stick attached directly to the rotor head,
as you might guess that’d be a questionable control method for the gyro-glider
unless it was being piloted by the Hulk.
My inclination would be to add some sort of detachable control surfaces that’d
be used for directional control while under tow, they’d be dropped once the
gyro-glider was committed to it’s landing point. Otherwise you’d have no way
to control the machine while you were being towed.
Here’s a good piece on how autogyros work.
http://www.aviastar.org/theory/autogiro/index.html