Hard boil eggs: Place eggs in a pot, cover with cold water by 1 inch. Bring to boil, remove from heat, cover, and let stand 12 minutes. Transfer to ice bath for 15 minutes, then peel.
Prepare smoker: Set up smoker or makeshift version using a deep pot with wood chips at bottom. Heat until chips begin to smoke.
Smoke eggs: Place peeled eggs on rack in smoker for 20-30 minutes until they develop a light golden color.
Prepare filling: Cut smoked eggs in half lengthwise. Remove yolks to a bowl and arrange whites on a serving platter. Mash yolks with fork, then add mayonnaise, sour cream, mustard, vinegar, salt, pepper, paprika, and garlic powder. Mix until smooth.
Fill eggs: Transfer yolk mixture to piping bag or zip-top bag with corner snipped. Pipe filling into egg white halves.
Garnish and serve: Sprinkle with additional paprika and chopped chives. Refrigerate smoked deviled eggs for at least 30 minutes before serving.