I'm not willing to spend a lot of effort figuring out the relative health of banks when the CDs are being offered by brokerages and are FDIC insured. For FDIC insured banks, I'm confident that I'll get my money. (And, the benefit of a brokerage is that they take care of it for you if there is a problem. Vanguard has an alert on its bond screen informing people that Vanguard is currently working with the FDIC to get the funds for anybody who bought SVB CDs.)
People are joking about being altruistic by buying the highest yield CDs, but I really do think it's good to be buying from the banks that are not the biggest banks, which is the case for some of the higher yielding CDs. They need the deposits. Selling CDs is part of their business model and will help them maintain the assets they need to stay afloat. Panic or paranoia is the worst thing for these banks (and for the borrowers, depositors, and holders of bank bonds and equities and the bonds and equities of business using these regional banks).
But is your money REALLY at the "too big to fail" banks?
https://www.zerohedge.com/markets/first-republic-bank-shares-crash-exploring-strategic-optionsBank of America, Citigroup,. JPMorgan Chase, Wells Fargo, Goldman Sachs, Morgan Stanley, BNY-Mellon, PNC Bank, State Street, Truist and U.S. Bank to make uninsured deposits totaling $30 billion into First Republic Bank