To the best of my knowledge, you can purchase a double set trigger and change it out for the single trigger but I would not do that. Their single triggers in my rifles are really good. And I have kind of gotten to where I like them. Although three of my Renegades have the double set triggers. My Black Mountain Magnum has the same trigger as your Renegade and it was a little stiff when I first got it, but it seems to have smoothed out perfect now and is just a joy to shoot.
Call T/C and ask them if that trigger can be adjusted. I am sure they could talk you through it.