No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
You said you have no revolving credit - does that mean you have no revolving accounts open or simply none with balances.
You have great credit scores but FICO likes to see a mix of credit open and used responsibly, including revolving and installment accounts (both mortgage and non-mortgage). It is possible to get great scores without them, but a score near 850 itself would likely require a good credit mix.
If you do have open revolving accounts, you may want to let one account report a balance (even though you will pay it off before the due date) - this reflects activity that the FICO formula usually rewards for the first revolving account with a balance (it is usually slightly harmful for each additional account with a balance).
I wouldn't sweat it though - anything over 760 is gravy as you are eligible for the most favorable terms if all other lending factors are in line (income, debt to income ratio, etc).