Tires and wheel sizes for a 1500 limited

[gramma]

I purchased a 2021 ram limited with 285/45R22 rims and Goodyear tires. The tires have 30,000 miles on them and they are worn out. 6000 miles of the 30,000 miles were towing a camper, so I am in the market to purchase new tires. The only tires I can get are standard load range B with a load index of 114 with 2700 pounds. After researching this and after going to a certified automated truck scale with the camper attached to the truck I found out that my steering axle load is at 3000 pounds, the drive axle load is at 4100 pounds with the camper attached. If I purchase the load index tires of 114 with 2700 pounds will that exceed the the drive axle load of 4100 pounds?