Weight is the big factor.
Our relatively light Daytona (never weighted it, but I'd guess under 2500lbs) would go two races on a set of 205/50-16 star specs, and the tires were roughly matched to the car.
The heavy saab (3300+lbs without driver) eats a set of 235/40-17 Falken 615k+ tires in a single race. We tried using the left over star specs from the daytona on it one race and it was just horrible. Not nearly enough tire for the car.
We also played the treadwear game. First race we tried to save a bucks and get 300TW tires hoping they'd last longer. Went with the continental ExtremeContact DW. Great tires on the street. Horrible on track unless it's raining. They did not grip nearly well enough, and we still ate them in a weekend.
Point I'm trying to make, share how heavy the truck is (I don't see you mention anything about make, just "mini truck"), and get a set of rims that lets you match tire size to that weight. Buy a good tire in that size.
20+ Time Loser
FutilityMotorsport Abandoned E36 Build2008 Saab 9-5Aero WagonRetired -
1989 Dodge Daytona Shelby 2011-2015 "Lifetime Award for Lack of Achievement" IOE, 3X I got screwed, Organizer's Choice