You could simply buy a story skip and then play the story with NG+ .

But also, I don't understand why you don't want to play dungeons.
When it is about playing with others then simply say some words like: "hey, new to the game and dungeon, sorry for mistakes"
You then close the chat and just play the game.
You could even place that in a macro, so you don't have to always write it.
The big majority of player's are completely understanding towards new player and the mistakes they make.