Looked into this a while back....
Ladybugs and their larvae are voracious eaters. Youd need a massive supply of aphids, spidermites etc to keep a high individual cycle going. So you would in fact have to adopt a number of breeding programs to make it sustainable.
Then, they dont do well in indoor environments overall, and they will more likely be focused on escape than de-pesting.
My solution is to provide an outdoor area, my veggie garden, where they breed and flourish in summer. That way I can catch a few and take them indoors. The larvae are a better choice to take indoors.