Will drawback at higher rate be available to handicraft exporters who do not avail Input Tax Credit (ITC) like presently available to those who do not avail CENVAT credit

No. There will be no difference in rate of Drawback for exporters not availing ITC in GST regime. In GST regime, drawback will be admissible only at lower rate determined on the basis of customs duties paid on imported materials used in the manufacture of export goods. However, as an export facilitation
measure, for the transition period of 3 months from July to September, 2017, drawback at higher composite rates will continue to be granted subject
to the condition that no input tax credit of CGST/IGST is claimed, no refund of IGST paid on export goods is claimed and no CENVAT credit is carried forward.

(FAQ 14: HANDICRAFTS)