Speed is not a factor. Tameichi Hara says in his book,
Japanese Destroyer Captain, that the journey down The Slot to First Guadalcanal was made at 18 knots, well within the capability of
Nagato and
Mutsu.
I think
@NHBL has it, the battleships were too valuable to be risked before the Decisive Battle.
Nagato and
Mutsu are among the most powerful surface units in the navy, and are needed for the battleline. The
Kongos were always out front in the war, and were viewed as more expendable. To
@CV12Hornet 's point, they were also by far the most fuel efficient capital ships in the Japanese fleet.
Another issue preventing
Nagato and
Mutsu for executing the bombardment: I don't believe there were Type 3 bombardment rounds for the 16in at that point in the war. At best,
Nagato and
Mutsu would have to be a covering force for
Hiei and
Kirishima executing the bombardment. In that case, Callaghan is likely to suffer a bad defeat and the bombardment carried out, so the need for a second attempt leading to Second Guadalcanal wouldn't exist.
My own scenario would be
Ise and
Hyuga carry out the bombardment. With 50% more firepower than the
Kongos, the results should be devastating, if it can be carried out in the face of USN opposition.
My thoughts,