Is there a preference between the different high-intensity statins for high-risk stroke patients?  

Atorvastatin 80 mg daily (studied in secondary stroke prevention in SPARCL) and rosuvastatin 40 mg daily are maximal approved doses for the two potent statins. These have been compared head-to-head in coronary atherosclerosis in SATURN study. The study was an atherosclerosis progression/regression s...

There are two types of Statin. Fat-soluble statins or Lipophilic and Water soluble statins Hydrophilic. Lipophilic statins such as simvastatin, atorvastatin, fluvastatin, pitavastatin, and lovastatin, owing to their well-known ability to non-selectively diffuse into extrahepatic tissues, such as ske...

I usually recommend LDL goes below 100 at least and ideally below 70. With regards to the second question, whatever is good for the heart for cholesterol level is also good for the brain in most cases. I am not aware of any specific study for comparison.