I've been looking at bunkhouse trailers too. I've notice that the "light weight" models seem to be saving weight by making the ceiling lower. Have you stepped into the shower on any of these. They try to compensate for the low ceiling by putting a domed skylight above the shower. It makes me feel like I'm wearing a helmet.
When I look at the "standard, not lightweight" lines the ceilings are taller so that's what I'll be going with. However, I have a diesel dually so weight isn't so much of an issue as it is with your truck.
I don't see any problem pulling right up to the max weight. Or even over depending on a lot of variables. However, you do have to take the family and their gear in the truck into account when figuring the towing capacity and payload limits. If your close to the limit, going close and slow, then I'd pull it for sure.
