The current braking configuration I have is setup using the factory Tektro Novela mechanical brake calipers. I'd like to replace the rear caliper assembly (caliper with lever) with another mechanical caliper assembly that will accommodate the brifter pull leverage by increasing the pull ratio of the cable pull by not deadheading the brifter before achieving the max clamping force at the caliper.
As it is right now, I can pull on the brifter about an 1" before it makes the pad touch the rotor. I can adjust the pad clearance to obtain a tighter gap, but the slightest intolerance within the drivetrain will cause it to drag.

Without going hydraulic, is there a caliper assembly that can be purchased to give a wider gap on both sides of the rotor until I squeeze the brifter in order to fully clamp the pads on to the disk?
For example, a floating caliper design?