PREPARE THE PIE CRUST: In a large bowl, combine the flour, salt, and sugar.
Add the diced butter. Use a pastry cutter or your fingers to blend until the mixture resembles coarse crumbs.
Stir in the ice water, a tablespoon at a time, until the dough comes together. Be careful not to overwork the dough.
Wrap the dough in plastic wrap and refrigerate for at least 30 minutes.
PREPARE THE FILLING AND ASSEMBLE: Preheat your oven to 350ºF (175ºC).
On a floured surface, roll out the dough to fit a 9-inch pie dish. Place the dough in the dish, trimming and crimping the edges as desired.
In a large bowl, whisk together the corn syrup, brown sugar, eggs, melted butter, vanilla extract, and salt until smooth. Stir in the pecan halves.
If you're not par-baking: Pour the pecan mixture into the prepared pie crust. spreadingly evenly. Option: arrange whole pecans on top.
BAKE: Place the pie dish on a baking sheet and bake for 50-60 minutes, or until the filling is set and slightly puffed. If the edges of the crust begin to brown too quickly, cover them with strips of aluminum foil.
IF PAR-BAKING: Roll out the pie dough and fit it into your pie dish. Poke a hole at the bottom of the pie crust with a fork (this is called docking). Line the crust with parchment paper and fill it with pie weights or dried beans to keep it from puffing up. Bake for about 10-15 minutes, or until the edges just start to turn golden. Remove the weights and parchment, then bake for another 5 minutes until the base looks dry. Pour the pecan filling, then bake for 40 minutes, or until the filling is set and slightly puffed.
Keep an eye on the crust edges, they may brown more quickly since they're already partially baked. If they start to over-brown, cover the edges with strips of aluminum foil. This adjustment in baking time ensures that the filling cooks thoroughly without overcooking the crust.