Let me speedrun through this: I've never seen a pickup truck and I am in a rural place where people move stinky stuff all the time. Vans can be purchased with sealed off cabins, and with all doors open can be hosed down easily. It's fine. Nobody here has pickups. I haven't seen a pickup or known anybody to have one and everybody is fine. This is a strictly American thing and the US isn't the moon, there really isn't a unique need to use a truck bed for school runs.
You're doing the thing the man said: drive a tank to buy groceries in case you have to haul manure once a year.