No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
After you get another card and an auto loan on your file future loans should be easier to get as they will have something to go off of. I hear you, debit is a beast that you don't want to run into in a dark alley but used responsibly will make all your life goals easier (future cars or mortgages).
I know generally around here it's said to keep cards open for AAoA but you can close it in a year or so and replace with another card. The account will stay on your profile for 10 years and the new card will help to thicken your profile so your scores don't drop much when you do add a new trade line. Of course this is all personal preference if you care about a few point drop every now and again when you do make a large purchase.
$34K and 8 year on the job has a big impact. Average credit usually gets you about 13.5 PTI with an average APR. Your Fico probably score closer to 700 or slightly below that with a dealer using Auto Enhance Beacon but that won't make much impact.. Maufacture subvened lenders usually puts you in their tier 1 or 2 catagory based on what I'm reading from you.
My question is do you need to get a car right now or are you looking to be in the best situation credit wise before you apply for a car loan.. if you need a car now, you qualify for something in the 20k-25k range in my opinion (and I've been sending in aplications to lenders for people for nearly 20 years).