if sbi has not given u will surely get from other nationalized banks like Punjab National bank etc. dont try from private sector banks also their ROI is higher then nationalized banks .
Although sbi is also good in services , i am afraid why they have not granted the loan. u can contact other branches or their managers.
if you find out here about profiles shared by students whose visa got approved , u will see maximum students are going for diploma and have got loan to tune of 10-16lakhs.