I disagree, they tried your strategy and the front 4 got absolutely locked down. If it isn't working you need to get pressure some how and that would be with the blitz. The Ravens just did it and had some success and eventually ended up winning.
Unless the O line is inept, 4 down lineman are not going to get consistent enough pressure to beat Brady unless you have the personnel that the Giants have. Even they throw in a blitz here and there.
Either way he was way too comfortable and has been for over a decade vs the Bills.