Zelda has a 'Pro' mode where it hides all UI but the health. I was fully decided on using it through the whole game and I think it is the best way to play the game.
The absence of minimap is the biggest change. When you have your minimap is like when you drive with gps. You only wait til the map says you to turn, and after some turns staring at the minimap you get to your destination missing all that was in between. If you don't have the minimap you actually need to understand the map, know more or less where you are, where the landmarks are, and how to get through to your destination. In the end, the absence of minimap makes you learn better the world and the map, instead of relying on the digested info that the minimap gives you.