The following approach was originally brought to the table by Syd Segal in Full Metal Jacket (2005) under the name Very Fair Triumph. Ben Train offers personalization, history and clear teaching instruction make this video a worthwhile investment.
The cards are shuffled face-up into face-down. No false moves or suspicious sleight of hand. With a magical gesture, the entire deck straightens out with every card face-down, except for the selected card. A miracle at the card table. Dai Vernon would be proud!
If you're Dani DaOrtiz, you should do his triumph (my favorite triumph, and equally simple, technically, but I still don't believe anyone other than Dani could actually pull it off). For everyone who is not Dani, you should learn this one.