Lasers (across any of a broad range of frequencies) would probably be a better option because they would focus the energy being broadcast into a far narrower cone of pace. Even then the energy involved in transmitting data rich signals across that kind of distance would be enormous. In fact in this scenario (to the best of my laypersons knowledge) you'd probably need a broadcasting 'satellite' the size of a small moon
Lasers aren't restricted to visible light frequencies. In theory you can build (or tune) a laser to any frequency in the photon spectrum you want from the low frequency radio waves (microwave radio lasers are called masers BTW) through to gamma rays - which are really hard/next to impossible to do at our level of technology. So all you need to do is pick a frequency at which the galactic dust cloud is realtivly transparent, build your giant satellite and press 'send' . After which your signal takes 2000 plus years to reach the relay station and then another 80,0000? plus years or so to reach home. Hopefully your news in not urgent. P.S. Different lasers are given different names depending on the frequency the emit at e.g. a (theoretical) gamma ray laser would be called a 'grazer'.