With your current DTI at about 15%, the $1000ish car loan payment you're looking to add should increase you to about 24-25%, depending on your actual income level (you provided a range, so these are all rounded numbers based on the middle of that range).
With your score and AAoA, assuming you have appropriate positive installment history (an old car loan, student loan, mortgage, something), it should not be a problem.
If you don't have installment history and they balk at that, it is more likely to affect your interest rate than your approval. And the interest rate can always be lowered 6 months down the line once you've paid some on the loan and are ready to refi with 6 months of solid history on file.
