289 Mustang that keeps quitting

My 1966 289 Mustang has developed a habit of dying whenever I stop at a stop sign. It usually starts right up again but sometimes it takes a while. It does this whether it is hot or cold outside. It has an electronic distributor and coil from Mallory. The coil wire was burned so it was replaced, along with the other wiring from the coil. The fuel filters are clean and the carburetor has been readjusted. It still continues to have the problem but not as bad as it was. Any ideas as to what to check next would be appreciated.