Congrats on your new camper!!!
Looked it up,
http://www.jayco.com/products/travel-trailers/jay-flight/floorplans-specsHeads up, that TT only has a dry TW of 11%. 37 feet long and 11% is the bottom end of being comfortable. Take it easy on the way home. Load it and get the TW up higher to the 13 or 15% range. The weight will still load forward towards the tongue like the Eagle. Just you are starting out at a lower TW weight so it will not grow so high.
If you can manage to the 1,400#, then the Hensley and the ProPride are now options. You still have the Dodge receiver rating to deal with but you just opened up 2 options that did not fit before.
The Equalizer is a good hitch, but again learn every adjustment on it and dial it in. 1 ton truck or not, a 37 foot heavy TT needs the hitch setup right with good TW on the TT. You are starting with good tools, the truck and hitch, just optimize them. Don't forget about tire pressure too. Air up the truck tires to the door sticker which will be a good starting place as they are then hard/stiff enough for full GVWR. TT at max cold side wall pressure. If the truck tires are soggy, any of these high friction hitched will not hold the TT.
Go have fun camping.
John
