I heard that if possible it was a good idea, after pulling off the road, to get out of your vehicle and as far away from the road as possible. Does that seem like good advice in a situation like this?
The question is "Which way is a safe direction?"
Certainly not the Center median.
Assuming that you're able to pull off on the Right shoulder and the terrain permits, then moving further Right seems appropriate.
It also depend on what the "blinding agent" is and is it continuing?
Dust storm and still can't see?
Rain storm and still can't see?"
Snow storm and still can't see?"