Front mount storage box for a Honda EU2000 help needed

I need to take mine down to Tractor Supply and see if it fits into This Box

Right now I carry my Honda 2000 inside my trailer, but that's not always going with me. I have tried to run it inside the trailer but I find the vibration carries through to camper if hooked up. Best thing I have found is to just sit it on ground next to truck and run a cable through handle. (and carry insurance)