bukhara and Chris are rug dealers. They have seen thousands and thousands of rugs. They have given you their opinion. They can give you more details as to when and where in the 20th century this rug was produced if you provide more detailed pictures.
(The rug is not an 18th or 19th century Turkmen, because 18th and 19th century Turkmen ensis look different, in many respects: e.g. colors, wool, weave, true Turkmen designs, tribe-specific design-combinations, kilim ends, fringe.)
The best thing for you to do may be simply roll the rug up and drive to the nearest oriental rug dealer in your area and ask their opinion. I see you are in NYC. So you could for instance go to Doris Leslie Blau, they are experts in antique rugs.