I like to experiment, but I love to wear them folded on the V, V on my back, points draping down my front, under a sweater, soft jacket, blazer, and over a cashmere sweater or cotton T. They fold up and show a lot of detail, and end up looking like another shirt, with my lower layer peeking occasionally. You can also fold over the tails and tuck it under a V neck sweater/jacket and it kind of poofs out at the top of the sweater (if that makes sense).
I rarely wear button down shirts, but when I do, the scarves look great with the V pointing down the chest, then points wrapped to the front and knotted.
Getting a "how to tie your scarf" book (le carre Hermes) is also good for inspiration.
How do you like to wear yours? That style may dictate what top you wear.
I'm always interested to learn new ways to wear these beauties - can't wait to hear more ideas.