I think I see your issue. The added float is at a non-optimal angle. The box in smoothing mode should be nose high, but just a touch. Your picture where the "float" is touching, shows the box tipped too sharply up in the front. Go over to a flat smooth level driveway. Now lower the box down so the back blade (no the float) is just touching the ground. Adjust the top link so the nose of the box is just 3/4" higher than the back.
You may need to adjust the float to work with the box in that configuration. I do like your float idea. If you're interested, here's some suggestions for improvements.
Make the top bars into springs to push the float down.
or
Remove the top bars, make the float heavier and allow it to just freely drag behind. You can put a hook or pin to hold it up.
good luck!
jb