After watching pretty much every Pats game that Brady has ever played, here's what I would do to defend them.
Brady's game has been reinvented with the short pass and his down the field numbers have fallen off a cliff. Sure, he might burn a team once in a while with a deep pass but his completion percentage past 20 yards in recent seasons has been pretty poor. His intermediate passes (10-20 yards) also don't have a great completion rate. But on shorter passes he is an outright sniper.
As others have mentioned, blitzing is mostly useless unless you happen to catch NE on a play where they are looking farther downfield and don't have many short options or dump offs available (so maybe a play action where you are expecting the pass and don't bite on the ball fake). NE doesn't do that a ton and when they do they normally look for Gronk on a seam route.
So IMO, to steal a page out of sexy Rexy's playbook, I would mostly avoid blitzing and instead put 7 guys in coverage in a very short zone. Put three guys on the receivers at the LOS and really try to jam them. If you look at highlights or film of the Pats, defenders are mostly reacting and backing off the line not standing their ground and hitting the receivers. And have another line of 3 DBs right behind the first set of backs. Leave one safety back to control the middle of the field or help on Gronk, but mostly line the defensive backfield within 10 yards from the LOS. Similarly, make sure the D-line plays the run first and does not get up the field into the backfield (at least initially) so NE can't run you or draw you to death.
Basically, with six DBs within a few yards of the LOS, you are forcing Brady to have to throw the ball over the top and farther down the field. By having a second line of defenders dedicated to covering the outside and off the line, you can neutralize a lot of the picks plays because there is a help defender right there to pick up someone coming off a pick. Once the play is clearly a pass, then have the d-line turn the switch and rush, as Brady will need way more than 2 seconds to get rid of the ball. Maybe you play a hybrid zone / man coverage scheme where the second line of DBs plays man coverage and the underneath set sticks in zone. And with 6 defenders tight to the LOS, they ***SHOULD*** be able to hold any short passes or dump offs out of the backfield to 2-3 yards.
Let's see what the Jets do this year against NE, as they have a secondary that should be better in coverage and a D-line that should be able to pressure Brady.