Logistic Network Cleanup+Production Question

[Rawblin]

Greetings folks!

I am attempting to do something that *I* thought would be normal and easy, but it is tripping me up quite a bit. To the point that I now question whether it is actually possible. So if any of you are able to think outside of my box and provide a solution, I'd be very grateful!

The Conundrum;

I like to store things in a specific location, usually where I create said thing, and have the logistic/construction bots move it to where it is needed either by me or my factory. I like watching the bots run around all over the place. Maybe I'm nuts, but I like it. Anywho, because of this I like to have things available in a certain location. For this example we will use stone. I have stone being mined, and dumped into furnaces. Nothing special there. But on the belt, between said furnaces and the miners, is an inserter that will grab stone and fill a Passive Provider Chest to the brim with spare stone. So that elsewhere in my factory, or me, will always have some on hand if required. This works wonderfully and I love it.

The problem is, I also gather stone from random stone in the world, or bots making it halfway to me and then I leave the logistic area and they dump said stone into Storage Chests scattered around my factory for just this reason. So now there is stone in Storage Chests. But I don't want it to sit there forever. In my perfect world I would have this stone taken and placed INTO the previously mentioned Passive Provider Chest. Or at least directly next to it, ready to be input before the inserter grabs more off of the belt. So that the excess stone is always getting "used up" back into the provider chest. To keep things tidy because I have OCD problems with weird stuff. I know.

But is this possible? Using a requester chest just creates and infinite loop between it and the nearby provider chest. I'm hoping there is some fancy way to get these spare stone (and everything else) out of my factory random storage and into the specific storage of the provider chest. But everything I have tried so far has ended in loopy times. For the logistics bots and myself.