1) I would suggest you contact TSA and get the facts. I think, based on a experience I had in 1999, when I declared an expended 76mm naval rifle shell upon checking in my baggage, its against FAA rules.

2) How about grabbing a sterno stove and sterno for this trip after you land??? Or some other cheap cook stove.
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QMC, USCG (Ret)
The best luck is what you make yourself!