It is doable but three very long hours' journeys. Ahmedabad to Gir / Somnath will be 9 to 10 hours. Two nights here. The Gir National Park opens only on 16 October. Book the permits online www.girlion.in Somnath to Dhordo again 9 to 10 hours. Break journey in Bhuj. Spend three nights in Kutch. Last journey Bhuj to Ahmedbad is 6 hours. So, doable but a lot of hours in the car.
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