Without Charging IGST You can't supply SEZ dealer. In case You have LUT / Bond then You can supply without charging GST. Otherwise payment is must by Yourself...
As per sub section (3) of section 16 IGST Act :
A registered person making zero rated supply shall be eligible to claim refund under either of the following options, namely:-
[a] he may supply goods or services or both under bond or Letter of Undertaking, subject to such conditions, safeguards and procedure as may be prescribed, without payment of integrated tax and claim refund of unutilised input tax credit;
Hence as per above you can claim ITC even if you exporting with charging IGST (with LUT)