Good morning,
In this case, I’d try 3-4 places and you can really do it all w/o any credit pulls at all. Keep in mind the ‘posted rates’ on these sites are prime scores so generally 740+ score but what you can do is call up these banks and ask them what the APR is for your score. Most are pretty forthcoming about roughly what you’d qualify at. You can also ask what their loan to value ratio is for approving a loan so for example if you are financing a 50K for a 50K MSRP truck, they’ll value it a bit less than that around 45K and some may approve you but require you come back with 5K down. I pretty much never put money down on a loan because I always wait for a 0% interest deal so it’s just free money anyway.
I pretty much recommend everyone go To PenFed. .9% for ‘well qualified’ on new auto purchases is fantastic.
https://www.penfed.org/auto/rates
also, this calculator can help you determine how much interest you’d be paying.
https://www.bankrate.com/calculators/auto/auto-loan-calculator.aspx
So 50K @ 2.99% over 60 months = $3000 in interest you’re giving to the bank. 1% gets you down to about $1281. That’s a set of tires.
Back to your question, this page if you scroll down has a nice guide “auto rates that are best by credit score”
https://www.bankrate.com/loans/auto-loans/rates/ you can see how much the score has an impact on the ‘best rate’ but this is primarily banks. Credit Unions will always beat banks on APRs.