I have an 08 5.3L Suburban. I am planning on renting a toy hauler that will be around 7K lbs loaded. I have the factory tow package so it has an aux transmission cooler. I will be towing around 500 miles and will be going through some hills. I know this is pushing toward the top end of the towing capacity and I'm wondering if others think towing this much will be okay. Any recommendations would be appreciated.