Preheat grill to high. When ready to cook, brush grill grate clean and apply thin coat of oil to grate. Place corn on hot grate; start basting with coconut milk mixture after a few minutes. Baste several times as it grills until nicely browned on all sides, 2 to 3 minutes per side, 8 to 12 minutes in all or to desired doneness, turning with tongs.
