Personally I don't want a "style". I want to be the team that morphs into whatever is needed to win on THAT particular week. That's when the Pats are at their best.
That being said, you first have to build an offense that can do that. You need to have at least 2 strong RB's to take the beating of a long season, PLUS a 3rd down threat. You need a strong OL who can excel both in protection and the run. You need to have WR's who are smart, talented and above all flexible enough to line up all over the field. Most importantly, you need a QB who can lead and throw accurately enough to move the chains and excel in the red zone. I would like for the offense NOT to have an identity, but rather be like the defense often is, seemingly almost "positionless" . On week against a team who is good against the run, come out and air it out early and often, If they have a strong secondary and great, but smallish edge rushers, pound the **** out of them.
Unfortunately that is an ULTIMATE goal. This year is all about finding out what this offense is capable of doing, so we won't see it happening overnight. My HOPE is that we end up with Maye OR Daniels and we they are disciplined enough to be "game managers". That our OC controls his development and we see his impact grow as he develops.
I think a stat line like 3500 yds - 20 TD's and 9 picks and something like 40 sacks would be an OUTSTANDING performance.