The dealerships get a kickback if they can get you to finance for 90 days. You pay it off before those 90 days and they have to pay it back, in many cases the salesman himself will have to pony it up. So most sales people will say the question you ask yourself is simple.
Was the salesman good? Did they sell the van to you at msrp with no ridiculous dealer addons? Did you just overall have a good experience buying the thing? If you answer yes to to all of the above then perhaps consider letting it run the 90 days and giving them the kickback..
If not, well...pay it off and enjoy.
I actually liked our salesperson a lot when we did the early payoff. We were up front and told him we would payoff early and make sure he put us in a loan that had no minimum length for them to get paid.
In a different but similar, non car loan situation, we were told that they couldn’t tell us to not payoff early but would really really appreciate it if we waited 90 days before paying it off. We did wait on that one.
So, if you like your salesperson, do ask the minimum time that they need the loan before payoff and use that information in your decision-making.
As to the credit score… if you have the cash to pay for it who really cares if your score takes a ding for a few months? If you are managing your money that well the score will recover pretty quickly.
-Mike