You could also eliminate the magnetosphere entirely which would let the solar wind hit the atmosphere directly. Of course this would be on the day side, not the night side. To get it to hit the night side, you need to use the magnetosphere, and that will only pull the particles into rings near the magnetic poles.

You can probably move the magnetic poles around. They tend to align roughly with the rotation of the planet but Uranus is an example of a planet with significantly skewed magnetic poles, although it's obviously not a terrestrial planet. This could produce an aurora elsewhere, but it would still be a smallish ring around each magnetic pole, with some fluctuations. You'll never get an aurora near the magnetic equator.

You could eliminate the magnetosphere entirely which would let the solar wind hit the atmosphere directly. Of course this would be on the day side, not the night side. To get it to hit the night side, you need to use the magnetosphere, and that will only pull the particles into rings near the magnetic poles.

You can probably move the magnetic poles around. They tend to align roughly with the rotation of the planet but Uranus is an example of a planet with significantly skewed magnetic poles, although it's obviously not a terrestrial planet. This could produce an aurora elsewhere, but it would still be a smallish ring around each magnetic pole, with some fluctuations. You'll never get an aurora near the magnetic equator.