There are plenty of programs with US auto manufacturers for purchase at a good price while overseas and take delivery back home. There are also US-specs programs with foreign auto manufacturers, where you order, buy, drive and ship. One proviso is you usually have to comply with the POV shipping entitlements on your orders.
There are many programs out there, and your DS will hear all about them. Many military folks have done these, and there will be abundant advice.
One of my friends did the BMW program where she ordered the car, flew to Germany, drove it on a nice vacation, and they shipped it to the dealer at her next duty station, shortly before she PCS'ed.
Both USAA and NFCU have new/used online auto purchase programs, with discount.
I sold my beater car in Hawaii (bought it from rental car company annual fleet sale), flew into LAX on PCS orders, taxied to dealer, picked up new car and drove XC to VA. Hawaii's sun, humid salt air and iron rich soil are not kind to nice cars, so during my two tours there, I bought used cars that were used to sand.
Makes sense to sell the car and not have to pay auto insurance.