Guys with kids (Gals, too!) I think I may have a solution for you. I set up my 12 x 14 ft. tarp on my last BWCAW trip this fall and when it turned cool and rainy I just closed the ends like doors and thought about what a tidy "tent" I had. We had some strong winds that night and I thought I heard some yelling and thought about how IF my neighbors had tent issues that I could've accomodated about 4 of them under my hammock!
So set your tarp, then your hang and welcome in the little buggers...there's plenty of room on the ground! (Just leave yourself a clear path for that inevitable mid-night stroll!)