Frequency doubling

I would like to get a few mW of a 266nm beam w/o breaking the bank. Do I have to get a 1064 nm Nd:Yag and do fourth harmonic generation, or can I frequency-double a 532 nm that I already have? The 532 is an excellent quality beam (fiber laser, TEM00, M2<1.1, 200mW, reputable supplier). This must be a dumb question, I apologize.