Not seen this battle discussed much. There are plenty of descriptions available online so I'll not do a tedious & inadequate description. There are several variants of the battle I'd present as WI.
1. When it became apparent on the 25th Oct TF 34 of Lees battleships & escorts would need to refuel their destroyers & therefore be delayed two hours, Halsey ordered Lee to send ahead any fast elements. As TF 34.5 the BB New Jersey & Iowa, with three cruisers and eight destroyers sped off to intercept Kurita's retreating fleet. This TF missed the Japanese fleet, but did run down straggler Nowaki, a destroyer. WI this TF 34.5 gets rolling much sooner & does approach Kurita's force as it retreats from the south?
2. WI Halsey has formed & detached TF34 the previous day. It is in position to intercept Kurt's fleet as or after it emerges from the San Bernadino Strait.?
3. 3rd Fleet looks at its intel late on the 24 Oct, AND realizes TF 34 has not been formed leaving the San Bernadino Strait unsecured. Oldendorf is ordered to take five of his six BB north and three of the four heavy cruisers north to replace the missing TF 34. Assuming Oldendorf is underway before midnight at what point does he come into gun range of Kurt's fleet? How does that work out?
3a. What happens when Nishimuras fleet makes its run up Surigao Strait? Presumably the Fuso is still sunk early on by destroyer launched torpedoes.