You already have direct answer from owner of similar set.
Unless you come with precise weight numbers, you really will not know, but I don't think you should have illusion that you will be on safe side.
Coming to truck modifying - adding air bags is cheap and I am the one who did not have sway problems with it, but when you read forum archives - lot of owners after spending thousand$$$ on safety and reliability modification, most of the time ended selling smaller truck and buying bigger.
There is a limit for how long you can take white knuckles driving.
