We decided to book tickets to see Hohenschwangau instead of Neuschwanstein. I think it was well worth it, not nearly as crowded as it could've been. We weren't allowed to take pictures inside the castle due to it being privately owned but what me and the family saw was nothing short of amazing.
There was also a really good view of Neuschwanstein from the courtyard that I got to witness (1st picture).