I feel like almost everything these days are tied together, meaning they are all correlated to some degree. Before you bash that I understand some things aren't correlated and are used to hedge and you can have inverse etf's etc etc. But for the vast majority of things, many are correlated at the moment. I feel like your best bet would be finding stocks that have very low volatility. There are some out there that don't have a wide trading range even when the market is getting killed (or rallying 490 points).
As for finding a proper screener, if you're using a retail account, which I'll have to assume you are, and they do not have one that properly fits your criteria, why don't you explore using a different broker? Many firms now offer trading platforms whether they're free or have a min. trading amount, but they still have them.