The 30 days is there to protect you, because someone who steals your wallet could check blockchain.info and start e-mailing exchanges asking for a password reset. 30 days is so if you did get hacked, you have plenty of time to contact burnside (and everyone else) and explain what happened.

If you have a lot of money and a lawyer or doctor friend, getting your account back immediately is trivial. Just have your lawyer or doctor friend guarantee the statement of ownership. Just write a photo-letter to burnside -- the guarantor must write a declaration "I certify this to be a true likeness of (name)" and sign the back of the letter, and sign and date the photo. A scan or fax will be sufficient, because burnside can then contact the individual independently to verify what you have given him is true. I expect burnside would charge a fee for this service but I can't see any reasonable reason he would decline the process. Then again it isn't exactly standard procedure in the world of bitcoin finance.

p.s. if you can't find a lawyer, traditionally accepted alternates fall along the lines of dentist, judge, police officer, mayor or notary public or above, or the signing officer or president of a bank.