You probably just need to adjust your WDH. When I bought my trailer the place loaded up my Toyota Sequoia and not only was the WDH not adjusted properly, but the tow vehicle couldn't even handle the trailer. Those places don't care. The responsibility to tow safely falls squarely on the driver who is pulling the coach. Most coach dealers just want to make the sale. You sign the paper, and BAM, it's your problem. That's really their logic.
I think you'll find even when adjusted properly, the E2 is just okay. It's not a 4-point sway control hitch, which would theoretically offer more sway control. You said sway wasn't really an issue, so adjust the hitch to transfer more weight to the front axle and see how it rides. Hit a scale as others mentioned so you aren't guessing on weight.