I've used 18 volt Milwaukee cordless drill for years in the construction business. I have used the same drill to raise a TC but it was a small 8' pop-up.
I recently got a new Milwaukee 18v cordless drill to replace my 10 year old model. The new one is so much more powerful it's almost scary. It came with a detachable extra handle for high torque applications. I thought that was silly, it's just a cordless drill after all. Then I used it with a 4" hole saw. It grabbed and twisted my arm around. I thought it was going to break my arm off. I use the side handle now with the 4" hole saw.
I would have to guess that a modern day 18v or higher voltage drill with a brush-less motor made by Milwaukee, DeWalt, or other good brand would have more power than the motors that came with your jacks.