Driving in Greece is not dangerous as long as you don't drive dangerously which is possible anywhere you travel even back home.
Roads are good even in the most rural areas.
Driving is slow going in many areas not because the roads are bad but due to the terrain especially in mountainous areas, along curving coast lines and even driving through small villages.
If visiting a town/village there is usually parking available outside the village and that is your best place to park as driving through some towns is like a maze.
I also use a navigation system like Google Maps which really helps getting from Point A to Point B.
The best way to experience Greece whether islands or the mainland is by car as buses while available may not be convenient and hours may be geared to work/school hours.
Take your time and you'll be fine.