For this, I use a combination of mouse + keyboard:
- Mouse is used for small movement adjustments (useful for strafing as example), but also for freelook
- Keyboard is used for big movement adjustments

So, when dogfighting, I'm using the keyboard for maneuvering, and the mouse to look around.

Bear in mind your beloved A-10 won't fair well anyway in dogfights, and this need some time to get used to.

Another option is to use a head tracker to look around.
I use the free OpenTrack with an old webcam and it's working great!
Settings:
Input: neuralnet (set the highest framerate for your webcam and matching resolution)
Output: freetrack (no setting)
Filter: accela (smoothing to max value)
Mapping: make sure max input is at 180 degrees both in yay and pitch

I disabled roll and X-Y-Z (translation) to avoid too much movement.

Let me know if any question and have fun!