The EEOC mediation process rarely results in a meaningful offer. If it does, you can request time to consult with an attorney. I would not recommend hiring an attorney on an hourly basis to go to a mediation. If the mediation fails, or either party delines to participate, the charge is referred back to the investigation group. EEOC charges are taking a very long time to get through the system. More than a year is not unheard of right now.