The best solution can be determined on how your game "feels" while playing it, but here's a few suggestions that you can consider:
Smooth Camera
Sure the ship needs to always point at the top, but the camera doesn't have to force that to happen. The ship could move/rotate at really big speeds, but the camera needs to be a bit easier on the eyes.
To do that, make the camera "follow" the position and orientation of the ship, so that for example when the ship moves and rotates, the camera will slowly follow the same motion in the next few seconds.
Contrast
Objects with high contrast (like bright white stars on a dark black background) are asking for the eye's attention. When they move erratically, while asking for attention, the eye could get more tired.
A solution could be to make the stars have less contrast (assuming they are just background), or even better, make the stars dimmer as the camera moves around, but have them high contrast once it's more stationary.
Accessibility
You mentioned an accessibility concern on your post, so I'll mention some extra info about it. To make things easier to see on the screen, there need to be multiple "hints" of something being there. A usual example is making an object have a color and a shape that's distinct.
I'm not sure how that can translate to your game, if stars all important (gameplay-wise) and there are different kind of stars, it helps to make each kind of star a different colour and shape. When choosing colours it's good to consider the Contrast section above.