It *can* work.
If you are going to do it, I'd see about using a quality FMU, one that replaces your stock FPR.
Once the FMU is in place, and you have it set, your injectors will deliver varying amount of fuel - meaning their effective flow rating changes.
On a Syty, we have 32lb/hr injectors. Our FPR's give us 1psi of fuel pressure per pound of boost. Contrary to what people think, this is NOT to give additional fueling for boosted conditions, but it is to maintain a constant fuel delivery rate for the injectors, under a variety of manifold conditions. Consider the environment the injector sprays into - if it is atmospheric pressure, and you have a fuel pressure of 43.5psi, and the injector flows 32lb/hr. If you use that same setup, and inject into a vacuum environment (like into the intake manifold at idle) the injectors will deliver MORE than the rated 32lb/hr, as there is some suction as opposed to the atmospheric conditions. On the flipside, when you inject into a environment with GREATER than atmospheric pressure, the injector will deliver LESS - imagine the air pressure pushing fuel back up into the injector nozzle. So with a boost sensitive FPR, it will decrease the fuel pressure at vacuum conditions, while increaseing the fuel pressure in boosted conditions. Therefore it maintains your 32lb/hr fuel injector delivery rating under all conditions.
In an FMU setup, the injector may have it's normal delivery value (let's say 32lb/hr again) at 0psi, or at idle, but at 5psi, the fuel pressure will increase in a manner that is greater than the 1 psi fuel pressure/1psi boost, actually increasing the injector rating to maybe 34 or 36lb/hr, depending on what the fuel pressure actually is. See the link
HERE for actual calculations. So this can compensate for the lack of larger injectors, but you would have to see how far this system can take the engine (how much HP it can support), and determine if your pump can deliver the volume required at that elevated pressure.