It's not so much what you can or cannot take on the plane, (except for fuel, which you can't take at all), but what must be checked and what can be carried on. This is as I understand it after a lot of reading: However, TSA keeps making rules stricter, so you'll want to check online.

Knives, tent stakes, trekking poles, and anything else with sharp points must be checked. If you try to take them through security, they'll be confiscated.

Oddly, lighters need to be carried on and not checked.

Water containers should be empty and dry. There also may be an issue with food in a carried-on pack.

Your stove should be thoroughly aired out so it doesn't smell of fuel.

Enjoy your hike--I know I speak for others here that we'd love to see a trip report afterwards!
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May your trails be crooked, winding, lonesome, dangerous, leading to the most amazing view--E. Abbey