Don't consider aphids a problem. They are a symptom.
Stefen Sobkowiak at Miracle Farms in Canada would tell you that aphids are attracted to high levels of nitrogen in a plant. You can watch his movie
The Permaculture Orchard - Beyond Organic for a descriptor. He tells the story of a woman that has multiple apple trees but one is constantly under attack by aphids. He eventually learns that the husband walks out every morning to relieve himself and he pees in the same spot under the same tree.
Dr. Thomas Dykstra educates people on the brix levels in plant tissue and how that corresponds to insect resistance.
The brix levels in plants is an easy measurement of how "healthy" a plant is. It's like measuring the oxygen levels in our blood. If the brix level is low, the plant is not getting the nutrients it needs. When it's not getting the proper nutrients, it becomes susceptible to attack. Aphids are the lowest level of attack, so I would suspect very low brix levels in the leaves.
How do you boost the brix levels in the trees? Adequate water, sunlight and nutrients. Let's skip water and sunlight assuming you can install drip irrigation and prune properly. That leaves nutrition.
What's the soil PH?
What food are the trees getting?
How are they fed?
Is the soil "alive" or just dirt?
What are the rootstock?
If this was a former dairy farm, would I be wrong suspecting a buildup of cow by-products in the soil?
How fast are the trees growing? (cm or inches per year)
Eric