Ran into the exact same problem after starting a brand new character.
I haven't re-installed anything yet. What does that entail?
Go to the Game Data Utility in the playstation menu, delete the Skyrim data (don't delete the save data), and then Skyrim will reinstall when you run it again. All your saved games will still be there so don't worry about that.
I can confirm that doing this fixed my freezing issue.