Without looking at real #'s, hard to tell, but having made that exact trip multiple times, a few times pushing the limit on tow combinations, I think you'll be alright.
One of your more likely problems might be having the "pickup" to merge with traffic if you get on/off the interstates near the major cities on the route.
I'd suggest emptying everything out of the truck and trailer that isn't needed, spend the nights in motels, work off the top half of your gas tank and go for it....at a reasonable speed.
Fill up before you hit the Lake Charles area and keep rolling (if you can) when going over the bridge.