I do not own a Hydrasynth.
The Hydrasynth has a CV Clock output according to the manual. If the Hydrasynth can sync to your DAW via MIDI, I would assume that it can simultaneously generate the CV clocks you're looking for.
Page 89 of the manual discusses the setting possibilities. There might be lag between the MIDI sync being sent from the DAW until the time the Hydrasynth outputs the clock. Since I don't own the synth... I can't tell you if this is a problem, but the Hydrasynth has offset parameters for just this problem.
You might want to try making the Hydrasynth the true master and slave the DAW via MIDI Clock to it. If you're using a constant tempo, then this shouldn't be an issue. The CV Clock might be more accurate that way.
http://media.justmusic.de/shop/assets/handbuch/10053556_Hydrasynth_Manual.pdf
Experiment a bit and report back. Someone else might have a Hydrasynth and the same questions.