It's debatable.
There's a trade off between getting traction and the stiffness in the side wall. The bias ply tire has a softer sidewall but more traction. The Drag Radial has a very stiff sidewall but less traction. On an equal launch when both would hook, such as on a sticky track, there will unquestionably be more shock through the drag radial. When shifting hard, there will be more shock through the drag radial. I believe that in your case the drag radial will be harder on the transmission.
However, the bias play will allow you to launch harder. So, for example, running a 1.20 60' through a bias ply (which you don't have near enough power to do) would be harder than running a 1.90 60' through a Drag Radial. I don't know where the break even point is, but I don't think you'll get there with your set up.
I know there's conflicting info in here. So, you'll just have to sort through it and make up your own mind.