I've had two rapid deflation punctures in the middle of a 60mph corner[Box of screws all over the road] Use the front brake and you get a massive tank slapper,use the back brake and it squirms all over the place. Safest is try and keep the bike straight lining and the deflated tyres will stop you.
As a matter of interest both tyrewalls will be knackered and will need replacing along with your skiddies