I have a Tokai LP with Mules in and a TS-808 into a Fender DRRI (admittedly the DRRI isn't the standard model) the neck pup comes very, very, very bloody close to NAILING Slash, Sweet Child O Mine. Both pups are also WEEPINGLY good clean at 8 on the (guitar) volume. The harmonics are also very special.
Maybe you should go for a Mule neck and a hotter bridge?