Sound Modules / Wave ROM Modules likes the the one you have do not have the ability to export the sounds into a format that is easily loaded into a DAW. You would need to sample the entire sound library yourself and manually setup the library using the sampler in Studio One, or find someone who has done that already and buy that library from them. Probably not the answer you were hoping for.
An alternative and more old school approach would be to just trigger the MIDI Sound Module the old fashioned way and record the audio into Studio One along side your MIDI Tracks.
There's a really cool program called MIDIQuest that uses a Sys-Ex Librarian for each synth and has an graphical editor for each synth ever made and acts like a VST. Consider using that to manage your hardware synths. This means you'll still have to hook them up via MIDI and route the audio cables.
Hope that helps.