Possible PODs:
1) Eastiest is Toussaint is not murdered.
2) Next Don't split off the Dominican Republic.
3) Haiti gets a larger piece of the island than in OTL if the DR does split off.
4) The Dominican Republic gets annexed by the US.
5) Haiti allies with the US in the Spanish American war and gets spoils from the War.
6) The CSA is victorious in 1964 but then fails to put down a massive slave revolt in the aftermath of the ACW. The Slave revolt is caused by the CSA trying to re-enslave all escaped slaves and kill all who supported the Union. Britain refuses to aid end attempt to re-enslave the blacks and the CSA has too many debts to France.
The Blacks take control over Louisiana as Butler pulls Union troops out and run it with help of educated Freemen from the US and the Black regimens from the Union defect to the New Louisiana republic. Jefferson Davis and other promenint Confederates are assassinated by black spies who use to work for the Union. This leads to massacres of slaves in revenge and causes more slaves to escape to the NLR.
Haitians seeing their chance to not be alone in the world send aid to the new Black Republic in the form of experienced officers, politicians, engineers, and arms when they can and even a few ships. This leads the Confederates to wanting to invade Haiti but that encourages the USA to go foward with annexing the Dominican Republic which was already being protected by Union ships* to keep the Spanish away. The Confederates enraged can't convince the Union to let them land troops on the island and try for a blockade but runners still make it through.
The Blacks in the Union buys arms in the North then sells arms to Haiti and the NLR and often go to join the NLR. The economy of the CSA can no longer sustain war against the New Louisiana Republic and sues for peace. The two Black republics remain allies for years and the separation of Texas from the CSA leads it to become independent again. New Louisiana becomes a major trading partner with the Union, Haiti, and even Liberia and the wealth of Haiti spills over to US Dominican Republic.
Wow i should really do a TL.
*Actually happened in OTL.