You know your own medication dosages and medical history the best. So, it's up to you to research how to manage your medications when traveling outside your country. Talk with your home doctor and insurance company who can answer questions. In some cases, you may have an international travel clinic or travel insurance providers to consult.
Reputable exchange programs should have health, safety, security and risk management plans in place. When deciding on a program or assessing it after you are accepted, ask questions about plans for crises or emergencies abroad and how information about your disability will be shared and accommodated in a crisis event.