I don't know the exact parameters for the U.S. but I assume it is similar to Europe.
Short version: you really do not have to worry about pesticide residues on your food. The amounts are so miniscule that you really cannot eat/drink enough to experience even the slightest effects.
Yet another myth/lie is the claim, that organic produce is healthier and does not rely on pesticides. Organic farming also uses pesticides (in Germany it is a 100-page list manual) but they have to be "natural" as opposed to synthetic (which is an utterly ignorant criteria) and says absolutely nothing about the substance's effect on the environment/human consumption.
In fact, organic farming uses a lot more pesticides than conventional farming dwelling in the ignorant appeal-to-nature-illusion. For example copper sulfate (widely used in organic farming in europe) is a lot more dangerous for human health an the environment than everybody's darling glyphosate (aka roundup). And no, courts do not determine a compound's carcinogenic effect! I am not claiming that every aspect of organic farming is bad, in fact there are some practices that are beneficial when combined with conventional farming in a rational way.
However, the way that organic farming is practised in Europe/Germany is ideologic not rational and does not make sense in most ways (I assune it is similar overseas).
To be fair I should mentione that organic animal products are to be preferred in most cases because the animals are held in better conditions and are fed more appropriatly to their individual needs which results in a healthier fat profile for meat/eggs/diary.
Or you could get your animal products from a (local) small farmer who may not necessarily be organic but nevertheless holds his animals in good conditions just because he does not have a whole town of them.
Also, a lot of supermarkets have gres-fed milk/diary in their shelves. It is a bit more expensive but, in my opinion, it is worth it, considering the healthier fat profile and better conditions for the cows.