Without a lift and or wheel spacers, at least using the OE wheels...
Max Height/Overall Diameter(OD) = 28.5"
Max Section Width(SW) = 9"( and you may experience slight rub at max steering lock 8.75 and less is better )
Largest 17" that will fit as a rule with no rubbing is a 225/65R17 which is a 28.5" OD / 8.85" SW tire. If you can get an 18 that will come out to the same basic spec's, or less, it should fit.
Sorry, no idea on those wheels and offset.
Don't forget that your speedo will be off as well. If you go larger than the biggest stock tire size of P215/65R17( 28.0" OD / 8.46" SW )the speedo can't be adjusted accurately. The Patriot/Compass only allows for changes to stock sizes period unlike other models/brands where you can enter custom tire spec's to adjust the speedo. Also, no aftermarket support for speedo calibration( handheld tuners )either..
So if you can get an 18 that is the same OD as one of the stock sizes( or very close )you will be fine. If not you will have to set it to the closest stock size and then use a GPS to find out the difference.
I am running 225/65R17 tires on my Patriot. I had the speedo adjusted to the largest stock size of P215/65R17. When my speedo says I am going 60 MPH I am actually going 61.8 MPH. That is as close as I can get it.
2014 Jeep Cherokee
3.2L Pentastar V6
Active Drive I