I understand your concern about the heat, but at a practical level it's just not an issue. As long as you pack them tight enough so that they cannot move you'll be alright. Remember, for decades LPs were shipped all over the world via truck, train and ship and heat damage wasn't an issue.
Not just for the vinyl, but for all your other worldly possessions, you should physically be there when the truck(s) are loaded.
Not just for the vinyl, but for all your other worldly possessions, you should physically be there when the truck(s) are loaded.