Not quite the same as Axis & Allies but there is “1812; Invasion of Canada”, which is a semi card driven war game. It uses wooden blocks but you could substitute these with “Viktory” game pieces or other miniatures. The game is worth checking out on its own merits, with or without miniatures.
Your reading to far into it. Just US,BRITIAN,and Russia against a well fortified GERMANY.Bridges must be taken to speed advance before Germany can blow them. Allies must hold supply lines,Germany can sabatoge and counter attack. Simple and fun.