Brown the Butter:
In a saucepan, melt butter over medium heat. Turn to medium-high and cook until it foams, quiets, and browns. Pour into a heatproof bowl, scraping in all the bits. Let cool slightly.
Prepare the Crust:
Preheat oven to 350°F. Grease and line an 8 or 9-inch tall cake pan with parchment. Combine ground pecans, cookie crumbs, powdered sugar, and ½ cup + 1 tbsp of the browned butter (use mostly yellow liquid). Press into pan bottom and halfway up the sides. Bake for 10 minutes. Lower oven to 325°F.
Make the Filling:
Beat cream cheese, brown sugar, salt, reserved brown butter bits, and vanilla bean scrapings until smooth. Mix in sour cream, then eggs. Pour into cooled crust. (Strain if lumpy.)
Bake the Cheesecake:
Place cheesecake in a water bath inside a 13×9” pan filled halfway with warm water. Bake for 1 hour to 1 hour 15 minutes at 325°F, until center is set and top looks matte. Turn off oven, crack door with a wooden spoon, and cool inside for 30 minutes. Then cool on counter for another 30 minutes. Refrigerate for at least 8 hours.
Make the Whipped Cream:
In a food processor, whip cream, sugar, salt, and vanilla until scoopable (not stiff). Spread on chilled cheesecake before serving.