aphids on indoor plants

[bower]

There shouldn't be any aphids on my veggies! I haven't seen an ant since spring. They got into the kitchen for awhile, where I fed them a homemade borax and sugar treat until they stopped coming. They didn't like what I had in the greenhouse. And they never did find my plant starting shelf where three pepper plants were kept overwinter from the previous year, which afterwards went outdoors.
Now I'm finding aphids on dill and cilantro in november in the same planting space where afaik no more ants or aphids could get in.
Has anybody got a solution for aphids in the house, that doesn't involve soap spray or neem, because I've been down that road and it never ends! Soap mess ends up everywhere, it is a full time job just to try to keep them down a bit (thinking on peppers) and for sure I'm not spraying soap or neem on leaves I intended to eat. I've reached the point that I will not engage a soap battle with aphids because it doesn't get rid of them.



There's got to be a way to get rid of indoor aphids, and whoever comes up with an effective answer to this problem is going to make a LOT of money or earn the Undying Love of millions.
I wonder if it's possible there are some furtive ants involved in this. I think I'll start by putting out the borax honeydew, just in case...