We pull a 1966 Apache Buffalo with our '96 Tracker (stock except for 225 tires). It weighs about 800 lbs empty and when loaded it is probably about 100 lbs over the 1000 lb tow rating of the Tracker.
It does very well on the prairie, and struggles a bit on moderate hills. We have had no problem with sway, even in very strong crosswinds.
If you intend to pull a tent trailer, I recommend that you look for one within the capabilities of the truck. Most modern tent trailers start at about 1300 lbs before options, and when loaded will be beyond the capabilities of your Sidekick. There are some vintage trailers from a time before the RV industry bloated their products to the point that it takes a V8 SUV to pull one. The Coleman Colorado is one that is popular and hard to find. The Coleman Columbia from the mid '80's is a possibility, but just on the verge of being too heavy. There are several CombiCamp models that you could tow. There are several Apache models from the '60's and '70's that are very easily towable by a Kick, such as the Eagle, Falcon or Buffalo.
There are a number of current models that are aimed primarily at the motorcycle market. Check out Trailmaster.
This is my Buffalo.