rracer5, hopefully this helps. This is the hose I have which fits both the trailer and my road trip grill. Essentially the brass fitting (3/8" female coupling) screws directly onto the grill, without using the regulator that comes with the grill (mine looks just like the one in your pictures). Although there is a valve on the hose(could not bypass), I will just keep it on high when using the grill since it is just a valve and NOT a regulator. The connection kit designed to be connected to a trailer supply line, post regulator (according to package). Now, I do not know if it actually works, but everything connects and it appears it should work.
2014 Ram 2500 Laramie CC 6.4l Hemi
2011 LaCrosse 296BHS