The intake cycle doesnt take 720 degrees of crankshaft rotation to complete, instead it's more around 1/4 of that, 180 degrees. furthermore the injector is PWM'd to control the volume of fuel injected. so it's way faster than 2ms
Having an idea is nice, but you keep mistating the fundamentals of what you are discussing. Assuming we are talking about a conventional-ish multiport electronic fuel injection system with typical pintle-valve injectors, not a single-point, central, mechanical, direct injection or a MPI/GDI hybrid (all of which exist) then you should observe the following:
The 'intake cycle' is not really relevant to the discussion. During normal cruise, a typical MPI gasoline engine often turns the injectors on during the
exhaust stroke. This may vary widely with temperature, load and engine design.
During high-load high-RPM operation, the duty cycle of the injectors may exceed 80%, or 576 degrees.
Typical PWM injector drives use an inital current to open the injector and then a PWM current to control the current and keep the injector open, not pulse it or hold it partially open.
There have been a huge number of variations tried and produced over the years, so if you want specific answers you have to be discussing a specific system. Finding a solution to your issue would most likely be realized by tracking down the right injector(s). Using two different injectors also might be something to think about. If you want to 'out-engineer the engineers', start by learning what they've already tried and done.
I'll just go and convert my engine to gas vapors because liquid fuel is lower efficiency... you know.. smaller droplets that evaporate faster always mean higher efficiency right
To an extent the statement is actually true--evaporating the fuel before it gets in the cylinder (using waste heat) improves the overall thermal efficiency of the engine. This may come at the price of reduction in power density, emissions issues and other things I can't think of right now.