If there's a hold on the individual, he'll remain in custody on that matter until the hold is lifted. Bail should be set on any other matters so that he gets custody credits on those other matters. He needs to consult with an attorney (or public defender) to determine whether his O.R. status should be revoked on any other case.
The INS is now referred to as ICE or Immigration and Customs Enforcement. There is no way to bail around an ICE hold while you are in local custody. After your state case is resolved, ICE has 48 hours to pick you up. If they don't you should be able to get out of jail without bail however some Sheriffs simply hold inmates as long as possible for ICE to pick them up.
Once you are in ICE custody you can apply for an immigration bond which may be granted depending on the circumstances of your case and the state criminal charges that resulted in a hold.
This whole issue is too complicated for you to handle alone. You need an immigration attorney familiar with immigration court procedures.