I've also had frustrations against the American natives. I had an entire army, including 3 sets of 12 iber cannons, dragoons, line infantry and all the auxiliaries that go with them, completely wiped out when i was ambushed by some tribe in north-west Canada. I started with 1,200 men, they had double that amount, i killed 300 of them, they killed 1,123 of mine... all that escaped was a unit of native indian musket mercenaries. The irony!
Don't forget, these people are savage in melee combat and will go through any musket infantry you put in front of them. I've watched them charge at units of British line infantry, take a volley, lose 1/6 of their men, clash with the line infantry and wipe them out in under 15 seconds.
Their archers are also a pain... longer range than anything you have, save cannons, and inflict massive casualties. That's where your rangers come in, or even better, cavalry.
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