Preheat your oven to 450F, place New York Strip Roast in a roasting pan, and roast for 15 minutes. Reduce heat to 350F and continue roasting for approximately 15 minutes per pound until you reach an internal temperature of: 135F for Medium-Rare or 140F for Medium.We donât recommend cooking beyond medium.reheat your oven to 450F, place New York Strip Roast in a roasting pan, and roast for 15 minutes. Reduce heat to 350F and continue roasting for approximately 15 minutes per pound until you reach an internal temperature of: 135F for Medium-Rare or 140F for Medium. We donât recommend cooking beyond medium.