In my experience, the ants that nest in our pots tend to favor the species we let have dry periods between waterings - in other words, our driest pots. If we can get the ants out of the picture, the aphids will lose their defenses and your predators can have a field day.

One method we've had some success with is submersion in water, using medium to large storage totes depending on the size of the pots. The tunnels flood and sometimes collapse, and you can flush them out.

Something else you could use is diatomaceous earth, which is generally available in garden and hardware stores. Make sure to liberally coat the soil surface and stem, and try to dust the aphids as well. Don't inhale it. You'll need to reapply it whenever it gets wet, so I'd recommend bottom watering whatever you can - I have a few small (1m x .3m) rubber boot trays I use for that. Something to note is that the DE is a broad-spectrum tool, so it won't discriminate between the ants, aphids, or the predatory insects.