With good conditions, the road is not dangerous at all but you have to drive slowly because there's a few sharp turns.
Shafer Trail is another story but you don't have to drive that far to get some shots of the Gooseneck.
Here's a snapshot of Potash road. The road/trail was quite smooth, even after a few days of rain. The toughest part, if I remember correctly, is when it goes around the
potash pools (in red on attached image) and for about 1/4 mi. After that, it's just like on the snapshot.