The AIOS has Shipping Zones, which can be sorted, giving some sense of priority over how AIOS finds the first eligible zone to apply a collection of shipping rates to an order.
This task is then to sort the rates into an arbitrary order.
Please make the following edits:
In /language/module.definitions.xml, find near line 83:
<string name="notify_shipping_zone_sort_order"><![CDATA[Shipping zone sort order successfully updated.]]></string>
Add after:
<string n