How to apply an Indian H1B Cap Exempt holder from Dubai consulate


I am from india, I have valid H1B visa but my visa is not stamped, I am under Cap excempt. I got an offer from Dubai for contract position. I am planning to go to Dubai but from Dubai can I apply my current Cap Excempt H1B visa stamping with any employer from USA.? And what are the success rate of issuing visa from Dubai consulate.?

Please provide me the suggestions. Thank you in advance.

Thank you,