Running low on covid tests we bought before they had to be covered by insurance, so I decided to check out how I can get them now that they're covered. Went to my local CVS pharmacy counter and asked how it works. They looked up my insurance info - they already had it since I have gotten prescriptions filled there, but I assume I could've just given my card if they didn't have it - and they told me I get up to 8 tests (four boxes) every 30 days. They said they could fill it as a prescription, and 10 minutes later they handed me a bag with four boxes of the BinaxNOW test. No payment needed.
If you're in the US, and haven't done this yet, hope knowing this is helpful! Pass it on!