While reading through some very old threads I've come across many lamenting Initiative with regards to ambushes and/or surprise, or "What if I want to 'ready/hold' an action/maneuver to interrupt opponent X?"
What about using competitive checks?
The check wouldn't supplant Initiative. The check could be based on any appropriately applicable skills.
Just a thought. I see people posting ALL the time about standard checks and opposed checks, but I can't honestly remember the last time I saw competitive checks mentioned.