Refined Storage has extensive wireless abilities to access your storage network remotely.
Want a higher range? Simply place multiple wireless transmitters around your world, but not next to each other.
Give it energy and insert a disk and you're good to go. It doesn't depend on a storage network.
Want to see how much you have of an item in your storage network? Connect a Storage Monitor and configure an item to display.
You can then see how much you have of that item and interact with it by inserting or extracting multiple items at once.