Here is some more for you to consider. When a manufacturer says it has a tow rating of 5000 pounds, that is not the entire story. What is more important is the payload capacity of your TV. I have a tundra and can tow 9000 pounds but that really means nothing in my case. I have a payload limit of 1750 pounds. My trailer weighs about 6500 pounds going down the road. The tongue weight is about 950 pounds. Now consider me, the wife, a little fire wood, a generator and a few chairs and cocktail tables and I am right at my limit. An important number to figure out is the tongue weight of the trailer. This will sit on the ball and affect your payload number.
Another thing to think about is your Highlander has a unibody construction not a frame on build like the 4Runner has. You need to check in to find out if you can use a weight distributing hitch on the Highlander. Years ago,there was a good debate going on about this.
Installing a brake controller is pretty easy these days. My 4Runner and my Tundra has a connector under the dash. Get one that fits your Highlander and simply plug it in. Mounting the actual controller will be more of a challenge but connecting it to the TV is pretty simple.
I highly recommend a Prodigy 2 or Prodigy 3 proportional brake controller.