I don't understand how if a ref blows a whistle you can overturn what happens afterwards. That's stupid, especially with the way unnecessary roughness/roughing the passer gets called. What I would not mind is if on these plays the refs were instructed to not blow the whistle and then auto-review instead. Maybe they could throw their own flag when they knew something was too close to call like they throw a beanie on a loose ball. Nothing drives me more crazy when refs force coaches to use their challenges early because they make the "reviewable call" rather than the correct call which would result in an automatic dead ball. That is the real problem with the rules.
That's the perfect solution. Throw your hat down on a play that should be automatically reviewed because you feel it's too close to call, then the booth stops and automatically reviews the call. You can't change any rule to say that anything that happens after the whistle blows matters.