The diffraction limit might imply that your sending antenna has to be impractically large (in diameter). Some Greg Egan's stories include a variation of that, where the thing that's accelerated is not a craft of any sort, but something that will in a few milliseconds from being launched (onboard time) start constructing the desired craft out of the material of the moon/star it has just impacted into. One example of a story of that shape: https://www.gregegan.net/INCANDESCENCE/00/Crocodile.html (I can't find the story that I remember having a closer approximation to what you described.)