In my situation uncle sam is covering weight of my bags up to 3. and I know there is a weight limit per bag which is why I would distribure parts equally between bags. the only issue I see if customs don't like the disassembled parts inside the bags but at the same time I won't be breaking any faa rules. I am ok with loosing 350$ if something happens, but its worth risking that $ in my eyes.
Read my comment on how Baggage handlers are. Worse on heavy bags. Remember normally there is only 1 guy lifting and putting this in place. I never said illegal, just not worth the hassle. I would talk to the cargo department for the airline and get a quote.
Might only be a few hundred, and then no hassle and no disassembly.
Good luck, there is no way I would even attempt this.