I did a trial fit with the 225/75-16s off our Wrangler. No go. Sitting still they barely fit, but any bumps or body roll and it was out of the question.
I've been chastised by others on this site for discouraging this size, because my Patriot isn't lifted -- its straight stock. Also, later years set an inch higher. I doubt that inch would make a difference but I can't say for sure. My problem was the back of the tire rubbing on the inner fender well.
I'd suggest you do what I did: mount a single tire as an experiment and see what kind of clearance you have. Would it still clear on a rough road, or a hard steering and braking situation? A kid on a bicycle, a bouncing ball, wildlife in the road -- you stomp on the brakes and yank the wheel . . . and rip out your fender well, destroy a tire, or both.

Even if you didn't have the accident, it'll cost you some bucks.
I really wanted to use up those lousy tires on my Patriot (I didn't want Wifey on them), but it wasn't worth the risk to put that size on my Patriot.