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Resources described on the Turkmens guide to the city of AΕgabat give options you could explore.
Carpet Museum: This museum has a large, impressive collection of antique carpets and also the largest Turkmen carpet in the world. Groups may reserve in advance for a tour (10 or more people) and reduced entry fees. Please note there are charges for picture taking and video taping. Next door is the museum shop. Carpets purchased here will also receive a license and permit (which you will be charged for) for airport customs. Director: Tuvakbibi Kurbanovna Durdyeva; Location: 5 Gorogly Street; Hours: Daily 10:00 am to 6:00pm, closed for lunch between 1:00 and 2:00pm, closed Sundays; Entry Fees: 25,000 manats (US$5).
Carpet Factory: About 200 people are employed here to produce what are known as "Bukhara" carpets. The visitor is invited to watch and take pictures of the staff knotting the carpets. Some carpets are sold here. Carpets purchased from the factory have one advantage over those sold at other sources: you do not have to obtain an export permit for them. The receipt is all you need for airport customs. Location: 23 Liebknecht Street; Hours: 10:00am to 6:00pm, closed from 1:00 to 2:00 pm for lunch.
The Bazaar: The extensive Tolkuchka Bazaar, TΓ€ze jygyldyk is the largest market in Turkmenistan is located in the outskirts of Ashgabat, in the residential area Choganly.
And, without knowledge of the company of any affiliation with it, consider contacting a business such as TurkmenCarpets-Online to discuss your concept.