I have the same problem, and came to this forum to see if anyone else had seen this. I was surprised that no one had commented on your post.
I did some more research, here's what I found, appears this is normal behavior. It seems everybody should see this happen.
The full-scale deflection of the autopilot/flight director while you are on the ground in the Black Square Cessna Caravan is usually caused by one of two core simulation behaviors:
Autopilot Servo Accumulation (Control "Wind-Up")
If the autopilot is accidentally turned on while the aircraft is stationary on the ground, the system will attempt to correct the aircraft's current attitude to match its target (such as a specific heading or pitch).
• The Problem: Because the aircraft is stationary on the tarmac and cannot move to satisfy the autopilot's commands, the autopilot continues to apply more and more trim or yoke input to compensate.
• The Result: This causes the virtual autopilot servos to "wind up" to their maximum limits, driving your flight director or control surfaces to full-scale deflection.
• The Fix: Ensure the autopilot (AP button) is completely disengaged until you are airborne and established in a steady climb.
Active Gust Locks / Control Locks
Active Gust Locks / Control Locks
Black Square's advanced simulation features realistic pre-flight constraints, including physical control locks. [1]
• The Problem: If you have the flight controls locked via the gust lock or the rudder lock (which can be toggled via the yoke or the Electronic Flight Bag/tablet), the physical surfaces cannot move. If an autopilot or flight director mode is initiated while these mechanical blocks are in place, the system interprets the lack of movement as an error and commands maximum deflection to try and break through the restriction.
• The Fix: Always disengage your control/rudder locks and complete your flight control sweep checks prior to taxiing and takeoff.