Agreed, Capital One Auto Navigator and Carvana can both give you an idea about the APR you might pay with Soft Pulls only. They convert to Hard Pulls if you go through with an offer.
I find those are the interest rates you will want to beat and many have been able to beat those rates.
Capital One Auto Nav. Soft inquiry too.
Thank you for this, and for the RULES! Holding off on getting a new car.