Will not work. The V-Nose will allow you to squeeze the third bike forward, but the two back bike still have to be staggered. Not sure you won't have to take the tour-pak off the front one anyway.
Need a 8 x 20 for four bikes, safely. A 7 wide, even at 20' would be hard to haul four dressers due to the distance you have to stagger them. With a trailer that full you need to consider stand-up chocks like a Condor or similar as the bikes are going to be so close to the wall that you would HAVE to have a second person to start the tie-down procedure before you ever got off the bike (could not lean the left bikes onto kickstand, they would hit wall). I suggest Condor because the quik-release floor brackets are cheap and work very easy (You will have to be able to remove and install the chocks for the rear bikes in order to get front bikes in) and Condors take about 10 Seconds to remove or install.
Good luck, hopefully you ordered your trailer will inlaid E-Track or similar installed. That makes it so much easier as you have unlimited tie-down possibilities.