I think part of it will come down to evaluating the 2001-(end of the run, whenever that may be) Patriots teams and determining how many HoF reps those teams will have. Brady's a no-brainer, and a couple of other guys will make it, but only partly for their contributions in New England (Moss, Harrison, Seau, maybe Dillon, maybe Waters). The bottom line is that, given how successful the Pats have been for a solid decade, some of the guys who contributed here primarily will have to make it. The most likely candidates are among the following:
Wilfork, Welker, Mayo, Bruschi, Law, Seymour, Mankins
When it's all said and done, I'd bet that 1-2 of those guys make it to the Hall, and if I had to guess who it will be, I'd probably bet on Wilfork and Welker.