As we leave the solar system radiation should decrease the further out we go.
You are confusing Solar radiation with cosmic radiation... and they are largely very different things.
The "solar wind" is largely photons and other, relatively low-energy charged particles from the sun. (Note the word "relatively".) Which is GOOD for us here on Earth. Because cosmic radiation has a much larger component of HIGH energy particles. The solar wind interacts with Earth's magnetic fields in such a way as to shield it from the cosmic high-energy particles.
But it's the cosmic high-energy particles that penetrate far enough into the atmosphere to ionize particles of matter, which form nuclei around which clouds form. So... high sunspot activity generally means fewer clouds, which in turn means it gets hotter. When "solar storm" activity is low, more cosmic rays leak in, forming more clouds, cooling the weather.
Unfortunately, it is these high-energy particles which require the most shielding. And in general, cells are more prone to damage than radiation-hardened silicon chips.