Took a look at your site; 2015 Patriot Altitude, right? Appears the only differences between that and the standard version is cosmetic (black aluminum wheels/black accents). With a 2.0L/150hp for motivation, CVT, and OE gearing, I'd be awful hesitant in selecting larger rubber, especially with a travelling family on-board.
Personally a fan of articulation/flex/full-lock without rubbing, and a quick look on the forums shows anything larger not able to do that (not much space with this design). I'm also a fan of taking into account whatever the OE chose on their best off-road package (if such a thing exists for a vehicle). It does here (Trail Rated model), and that fitment was 215/65/17.
All things considered, that'd be my pick. Good luck!