I didn't want to say anything earlier about your problem, I have never encountered anything like that with an EFI fuse before. About all I can think of that would be a safe option is just check your grounds, start at the ECU and work towards the engine compartment. If you find any that appear corroded or dirty you should clean them up with a wire brush and some elctrical contact cleaner. Inspect the ground wires and repair/replace any damage.
I may not be right about what the problem is but you can never have too good of a ground so your time wouldn't be totally wasted if this will not fix your problem. While you are digging around down there you might actually stumble upon some previous bad wiring that can get you closer to getting on the road.