we were also facing the same problems. Our ITC was running in Lakhs of Rupees and we were applying for Refund. but getting refund from department is not so easy. it takes time and cost.
You can do one thing. You identify few dealers in tamilnadu whose output liabilty is more than their input credit. You make sale to those dealer and that dealer will raise CST invoice to ultimate buyer.
In this way u can adjust your itc immediately . the middle man will return the ITC amount . you can give some x amount for all this adjustment.