New Zealand had to settle for third overall in the 11-team competition, after they won their playoff with the Philippines.
Guthrie and Emily Fanning, who became No1 after Erakovic's departure, both won singles games. so another doubles match was not necessary.
Hayman and Guthrie were unbeaten as a doubles team in the tournament, as New Zealand won their ties with Vietnam, Singapore, Turkmenistan, and the Philippines with just the 2-1 loss to Hong Kong.
Stepping into the breach with Erakovic out, Hayman lost her Hong Kong singles game but rebounded to win her Turkmenistan singles match.
While the rest of the New Zealand team flew home yesterday, Hayman's expedition in Central Asia continues.
Hayman is going to stay in Astana for a week to train, before moving on to the city of Shymkent.
She will play in two WTA US$10,000 tournaments, before flying down to Sydney for another US$10,000 event.