Great idea, here is what we do:
I built a spreadsheet in Excel that calculates NPCs, adds IPCs and calculates national objective income. Has a filter on the list of territories so after each battle is announced they are entered and any power changes are made after the battle. Some national objectives have Yes/No questions fields (for at war, sea zone, etc. conditions).
We connect the computer to a tv. Keeps everyone on the same page for battles to be fought and income.
No dice calculator: use dice towers with different colored dice to represent each attack/defend values so we can roll for all units involved in the battle at once.