In that SF story, I would be far more interested in the tech, that allows human life (or anything we bring) to withstand that slightly bigger problem called heat and radiation.
I'm playing with slight variations of this prompt on GPTs:
"Write a short (300--600 word) story about how human explorers on the Sun would address the challenges of navigation, orientation, and timekeeping (including the challenges of starfinding). Ignore obvious effects such as heat, gravity, and radiation."
Results are ... not excellent literature, but amusing all the same.
The Vikings supposedly had a "sunstone" (cordierite crystal) that could help find the Sun through clouds or fog. I did buy a piece and wasn't able to get any good results, but my life didn't depend on it.
It’s a polarizing filter. The atmosphere polarizes sunlight based on the angle the light enters. You can find the position of the sun above the horizon as the point where light is least horizontally polarized (a horizontal filter has the least difference between brightness through the filter and around it), and potentially find the position of the sun itself by the highest rate of change of polarization angle. This works remarkably well even on overcast days — try it with polarized sunglasses.
Anyway the sun's magnetic fields is ridiculously weak on earth.