I question the tactics of having discovery start now. Most of the case happens in discovery. If that is already done by the time the appeals are complete then why would they not just have the trial too? If they need to restart the entire case then it seems more likely they will choose not to retry.
As part of discovery, prosecutors would have to turn over much of the backroom dealings in the prosecutor's office. In my opinion, pushing ahead with discovery may force the state to drop the case now, even before the appeal goes through, if they are scared to turn over any info.
That's just my assessment.