When using beneficials it is important to release them as close to the bad bug onset as possible. Once a pest reaches biblical number proportions no beneficial is going to get them all.

Also, green lacewings are way superior to ladybugs on aphids, whitefly and mites. Ladybugs are nice, but lacewing larva can't be beat. Next year try green lacewings at the onset of the aphid arrival. You will be impressed.

There is an organic spray called Pyola by Garden's Alive that claims not to harm ladybugs. I have no experience with that though. But the Pyola would be a nice organic remedy for your aphid problem I would imagine.

Have you tried just spraying several days in a row with a water hose...if that is possible. I had some problems with aphids and just sprayed the plants with a brisk but not to brisk stream of water. They went away after approx. a week or so. I just had to be vigilant and do it every day...maybe twice a day.

I do what Kevokie does. Blast the varmints with a good stream of water. Yes, you might have to do it every coupla days for awhile but it is affective.

That works with black aphids, but I don't think that's possible with the red ones. They manage to swarm in the creases in the vulnerable growing tips, and also on and around blossoms and their trusses. They are very small, but easy to see because of their color. It just requires sifting through all the the leaves, including small ones, and turning them over. Tedious as hell.

Anyway, these are large and old plants from last year, and the vines and suckers have become thickly packed. And I have hundreds of blossoms on them. (Sungold and Snow White).

I'm going to try making a garlic spray and see how it works.

This is from "the Vegetable Gardener's bible" by Ed smith:

Aphid Control: Yellow sticky traps, green lacewings, ladybugs, garlic spray, hot pepper wax, insecticidal soap, neem, neem oil soap, water spray.

hope that helps.