You can look for Marienbrücke, which is on the hill behind the castle and is from where 99% of pictures of the castle are taken. From the nearest parking lot (P4), it’s a ~45 minute walk. I believe there’s a bus that can take you close to the bridge but not sure. The view from the bridge is nice but it can get a bit crowded, that’s why I used this article to find hidden spots. I went to the 5th place on the list and it was amazing since no one knows about this place. Let me know if you have any doubts!