Garden Pests and Diseases: Aphids, Spider mites, something else? How to deal with them?, 1 by Dirus

Dirus wrote:
I can't tell what these guys are. They are so small that I think they must be spider mites, only, I don't see any webs anywhere. They are also only on the underside of my Charentais vine leaves. Oddly enough I'm not seeing them on any other plants, even other melons, just the Charentais.

They hold on very tight, hitting them with water gets only a few of them off. I have to really blast the leaves (from the bottom up) to get them off and then I only get about 75-90% of them. To entirely clean a leaf it can take 5-10 minutes and some finger work, and the next day they are all back like nothing happened.

I was hoping something would come along and eat these little guys, but I'm not seeing anything. I have little gnats or fruit flies (please don't be fungus gnats) around the Charentais vines, so I hope they are feeding on these little guys, but even if they are it's not fast enough to keep the population under control. I was thinking of ordering some Ladybugs, but I've heard they don't eat spider mites, is this true? I was told for those I'd have to get Green Lacewings.

What are my other options? Is there a better or simpler solution? The vine is huge and spraying something on the underside of every leaf could easily take all day. I'd also prefer not to use systemic poisons on plants that produce fruit.