I doubt he comes here. For one thing, we don't have much need for him at ANY position right now.
We'd have to ask ourselves exactly "where" we see him as a potential fit, and I just don't see a need at H-back/fullback etc--at least not for the attention that it'd bring with it for a small grouping of plays anyway. We've seen a lack of plays from McDaniels' attempt at using a fullback, and Fiametta was recently cut. There is already an argument that we may have too many bigger bruising type, short yardage backs as it is with both Bolden and Blount, so I'm not seeing much use for a FB/bigger RB type role. That's even assuming that Belichick would feel that he could learn enough of the offense to contribute in the first place, which is also possibly under question.
TE? Is there room on the team for him as a TE? I don't personally believe so, especially if we consider the possibility of Daniel Fells being more injured than anyone expected last season and any possibility of improvement from Fells in year two. We already have 5 TE's in Gronk, Hernandez, Fells, Ballard, and Hooman. There are probably some other(s) that will be used as camp fodder, although Brad Herman was recently cut. Either way, there's probably not much of a need for another TE.
ST play? I don't see it. I don't see much reasoning in bringing him on for a punt protector role (or whatever the hell the NYJ were doing). Aside from the stupidity of bringing him here just for a small role like "personal punt protector," Belichick has plenty of other players to offer the kind of LB/ST only type wedge blocker role as it is, which would be the only other ST need.