The Cuban one was interesting. I found the best solution was to add the D area in the NW to the SW district and boost it to well over 60% D. Then add every area with over 20% Cuban in the new district. remove enough high cuban area to the N district to make it 51% R while it picks up the D leaning areas from the coastal district. Its not very gerrymandered. The Cuban district is about 59% R and the other two are 51% R. Everyone is happy and the courts love it, too.
You can do a bit better for the two GOP seats if in the eastern coastal city you do a narrow strip along the SE coast to get the Democrat area in the center of the city in the SC district. This then lets you shift some of the heavily GOP northern suburbs into the NC district, to make up for the loss of the GOP Cuban areas.
I gave it another shot and was able to do better for all the reps. It passes the courts as well despite one extreme gerrymander.
Rep. Phlop swung NW and took in every area in the western third that was 20% Cuban or less (63% D).
Rep. Pride's new district takes in the remaining third which is about 2/3 of the high Cuban area (58% R, 65% Cuban).
Rep. Gull dropped the SE beaches and the central D beach and moved across the northern side of the state and also south across the river just east of Rep. Hughes. (54% R).
Rep. Hughes goes from the R hills NE of her house and the eastern third of the Cuban community then straight S to the state line and east to the coast, linking with the high R SE coast (52% R).
Rep. Child has the remaining area including the central beach and the W and S outskirts of the city (58% D).