Never towed with the tacoma, but we have towed s built jeep with a couple different vehicles....and I can give some 'experience' feedback. Take it for what its worth.
The rigs.... 92 & 94 Wrangler, 35's, cage, D44's...etc. Weighed about 4200lbs without people in it (had it weighed). The trailer.....14' open deck weighed about 1200lbs.
Our first towing vehicle was a 99 Jeep Grand Cherokee, 4.7L V8, Auto, with 6500lb towing capacity.
Our 2nd towing vehicle was a 2004 Dodge Ram 5.7L V8, Auto (can't remember what the towing capacity was - but it was much more than 6500lbs).
Our 14' trailer was perfect for our short Wranglers. Your rig might need a 16' - which will make the trailer heavier, unless you get an an aluminum open deck.
Obviously, you can get the trailer and tow with it and see how the truck is going to handle it. Towing with the Dodge Ram was like a DREAM compared to the Grand Cherokee. No worries, towed it easily & nicely. No issues...etc. Long or short trips.
Towing with the Grand Cherokee (V8, Auto)..... did fine for short trips (2 hours) without long hills. At times, it was a white-knuckle experience long or short trips.
For long trips..... hilly terrain.... even the V8 had trouble keeping speed going uphills. The cooling system would almost max out. Braking?? Even with a brake controller with different zones.....you get nervous if you need to use the brakes hard.
We didn't have a weight distributing hitch.... we simply had a 'sweet spot' on the trailer marked for proper tongue weight. You might want to invest in a weight distributing hitch.
In a nutshell....you're probably OK for short trips. But.....you will definitely run into issue that'll make you think...Damn, I should have a fullsize to make life much easier. You will put that V6 and your shifting capabilities to the test. Over time - that'll put a lot of wear/tear on your transmission.
Oh...and I had a cold air intake installed on the Dodge Ram. We lost A LOT of torque while towing. I had to take it off. I don't know what your supercharger will do...but I can only guess, it won't help your towing experience.