First of all, nice job. 8)
What you are calling "backlash" I believe is usually called overtravel, that is, trigger movement to the rear after the sear has released. I am not trying to be nit picky, but by everyone using standard terminology, we all tend to communicate more efficiently.
Having said that, I did something similar to my MKII to reduce trigger weight and trigger overtravel. I used a nylon screw, but the basic theory and practice was the same as what you did.
The downside to this method is that with no overtravel, one can not remove the bolt from the action without taking the action out of the stock and backing out the overtravel adjustment screw until the trigger can be pulled back far enough to allow the bolt release to work.
I suppose you could drill a very small hole in the stock at the appropriate point so you could access the overtravel sdjustment screw from the outside, but because it is right behind the trigger, that may be difficult. One alternative would be to to drill and tap a hole in the trigger guard (easy) or the trigger (Harder) and put the overtravel adjustment screw in one of those more conventional locations.
Congratulations on being an "out of the box" thinker and for sharing your ideas here.
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