Some options for shipping to, and sometimes from Armenia.
Haypost, Armenia's post office has an office in Glendale, CA to easily send items to Armenia. They also of course have offices all over Armenia and you can send mail and packages worldwide through them.
These companies assign you a physical address in certain countries (US/China/UK/Russia) to have your items shipped to, and they re-ship them to Armenia.
United Shipping Group in Los Angeles with multiple drop-off points. They also send money.