well man. i think for H-1b , first u need to have job in hand. but, I;m not sure u can still apply with a letter from your dean and unofficial transcript that u r graduating on may and later on USCIS will ask to send u the original transcript bby june/july when ur H-1b is processsing.....but how truth is this thing need to analyzed....because this option also i came to know from some other guys around.....