No good news from here either. A WDH will itself weigh a lot (our Equal-i-zer weighs about 85 lbs, including the bars). You need to be looking at a trailer that has a fully loaded hitch weight of no more than 750-800 lbs (and I'm being generous here). You're looking at brochure "dry" weights, which are unrealistically low.
You might look into a hybrid trailer - full-height, so you don't have to pop it up, but has fold-down tented bed ends (sometimes a 3rd such bed along the side). It will have room for your family but be lighter. Good luck! It does take a lot of research to find the right RV.