No....200 will not make 3000 but it gets close. My legal limit here is 2250 watts pep on SSB and 750 watts of carrier for any carrier mod3 like AM FM or CW. That means an AM carrier of 750 watts peaking to 3000 watts for 100% modulation. It's nice to have the headroom.
Captain K, I think you should put your antenna up first! Sounds like a cool project though.
73,
Brett