What size trunnion bars?
Undersized can create instability.
Another issue is going to be payload with that size trailer.
Tounge weight will consume a big chunk of it and you have to consider all passengers and cargo in the truck as well.
You want my honest opinion for a better towing experience and for piece of mind.....go with a GVWR trailer that your truck can comfortably tow and consider 12 - 15% of this weight as tounge weight and see where you stand regarding payload.
That Sporttrek is a nice trailer but a lofty 35 ft long and will most likely weigh 8500 or so which will give it a roughly a 1200# tounge.
If your in love with the trailer then it's time for F250/2500 series truck and don't look back.