I have also heard that bars can steady  a trailer but I have no experience to go on with that. We run around 185 lb tongue weight and even with two bikes on a bike rack we see no sway concerns but any lighter would scare me. Mine measures 19 inch to the top of the ball and comes down about an inch when loaded and it sits very level and works well so far.  We will be looking for a more capable tow but will finish this season as is.  Consider parking on a down hill if running the fridge while traveling if you will stop for extended period

I would buy the next lower drop hitch and get the Scamp level for towing.  The hitch I use with my Jeep is at least a 3" drop, perhaps even 5".  Don't worry about clearance, worry more about towing a balanced little trailer.  If you can avoid it, don't travel with water--fill up at your campsite.The water reservoir is at the back of the trailer (at least it is with mine, no bath), and it will unbalance it even further. You could go to a local U-Haul or trailer hitch store and have someone help you select the correct height hitch.  Then take it out for a test drive, including your highway speed.  The true test?  Going downhill at highway speed.  These little trailers can sway quite easily if you don't set them up correctly.  Your TV is substantial enough that trying to load down the front of the trailer in an effort to "level" it won't squash down the truck.  You wouldn't want to do that at any rate, driving a TV with too much tongue weight is super scary--the front end floats.  Get them BOTH level, test the setup, then go have fun camping!   

Just get both parts of your rig level, watch your speed and you should be happily running down the road.  Here is some unsolicited but important advice:  Be sure your trailer coupler is down ALL THE WAY on the ball.  After decades of hauling various horse trailers, I was surprised that my dinky Scamp could be a bit tricky to hitch up!  Perhaps because it is so light.  I was at an uneven campsite once and finally had to move the trailer a couple feet (coupler on the ball, but not down) to get it done.  As the trailer is so light and easy for a person to move, you don't have to be exactly over the ball.  However, while you can slide the coupler forward over the ball, it doesn't usually work if you have the ball a bit behind the coupler--the little mechanism inside won't let it slide on easily.  Make sure you know how to tell it is on all the way! My husband taught my friend how to do it, and she had to fiddle with hooking up her old '13 at a campground while on her own.  Some helpful person came over and told her "you are on".  She stuck to her guns, kept trying and got it on correctly.  Tee hee hee, "mansplaining" gone wrong!