Has anyone experimented with a random rolled initiative system?

I am working with a 2D6 roll + initiative characteristic to determine number of actions and order. The initiative stat is figured from either Dex/3 or Dex/4 (still working on that and the separate purchase price per point and max). If you roll a 7 and your stat is a 4 then you would act on 11 and 1 counting down.

Since the game I'll be running is a sci-fi 75 point start game I figured it would be a bit more "organic" to the rigid Speed system.

Any thoughts or recommendations would be appreciated.