Place a rack in lower third of oven; preheat oven to 425°F. Cook butter in a small saucepan over medium heat, stirring often, until it foams, then browns, 5-8 minutes. Transfer to a large bowl; let cool slightly. Whisk in eggs, brown sugar, honey, cane syrup, bourbon, vanilla, nutmeg, and cinnamon until smooth; fold in pecans. Scrape filling into pie crust.