A variable pitch airplane propeller
There is no advantage to high rotor speed past a certain point
Rotor tip speed advantage maxes out around 80 m/s, with marginal energy efficiency gains dropping to 0 at about 110 m/s. Why do I bring this up? Because it tells us how we want to design rotors in high speed winds. Instead of a lighter rotor designed to move with the wind, we want a heavier and larger rotor designed to survive constant wear. Also, there is a certain point of rotor length in high speeds where we will lose our return on investment. THe higher the wind speeds, the faster the rotor moves, the faster the outer tip moves. THerefore, to keep the outer tip from getting too high, it would be more efficient to use smaller blades in higher winds.
Wind turbines can already survive high speed winds
According to wikipedia, a common survival speed is 60 m/s (134 mph) while some turbines are rated up to 80 m/s (180 mph). Turbines will lock their rotors at higher winds speeds to prevent damage. Commercial ones I looked at will tend to lock below 30 m/s; which is 67 mph and lower than your planet's wind speeds. A high survival speed just means that the mount and blades won't be blown down by winds of a certain speed.
What you need is pitch variation
Pitch variation will allow a turbine blade to change the angle with respect to the wind. There are papers proposing electronic control algorithms for rotor pitch that can capture wind speeds up to 50 m/s (111 mph, good enough for your world). The reason you need variable pitch is that your wind speed changes (from 60 - 100 mph) cover a wide range. Efficient production at 60 mph won't require the same pitch as efficient production at 100 mph.
Variable pitch wind blades don't exist commercially, as far as I can tell. There have been some research examples.
However, plenty of aircraft have variable pitch propellers. For example, the C-130 Hercules military transport aircraft from the US has such a propeller. Your turbine design will look like a airplane propeller, with electronically controlled variable pitch rotors. Note in the picture below, each rotor has a circular attachment to the hub. This will allow it to rotate the angle between the blade and the oncoming wind.
Airplane rotors can obviously adjust their pitch successfully in winds speeds higher than the 60 - 100 mph you propose. Algorithms for controlling pitch to optimize power production have been proposed in literature. And turbine installations can already withstand wind speeds upwards of 180 mph. Put these three concepts together to develop a successful high speed wind system.