Ants in the lawn are not necessarily a bad thing, they do eat and control other pests. A lot of biting ants is another matter.
If you have that many nests it is probably a large colony with multiple queens. Killing workers is futile, you need to kill the queens. Baiting takes time but is the better way to try to get rid of ants.
A healthy lawn is the best control. Keep the lawn fed and watered well. Ants don't like flooded homes. Be careful when it rains hard they invade your home when theirs is flooded. When there is drought, they will go inside the home looking for water. Mow the grass high.
Diatomaceous earth can be applied all over the lawn but it is an expensive option.
There are ant killers designed for turf grass, but read and follow label directions carefully.
Ant baits work but you need to place them where the ants can find them and take it back to feed it to the queens.
You can call in the professionals since they have access to products that require a license and they usually know the best places to set the baits to get the best results. You may want to also treat your house and put up a barrier arond the foundation at the same time so they don't try to move indoors.
Happy gardening in Hawaii. Gardens are where people grow.