If I put the tallest front spring on the pat, what increase in height will I get?
My wife drives a lifted 2016 Patriot Sport 4x4 2.4l 6 speed auto. Being completely honest, you don't want to strive for the highest lift you can get, because that severely limits what's left of the independent suspension's downward travel, which is just as important as upward travel.
Being a member of many Patriot groups/forums I've seen far too many people remove spacer lifts, returning the suspension to stock. Rocky Road, Daystar, etc it doesn't matter which brand. Spacer lifts really aren't the best route to go.
4x4 versions the best lift is a mild one consisting of Murchison CRDStu coils mounted on fresh KYB or Bilstein struts. The 4x4 Patriots came from the factory with two different ride heights. With the CRDStu coils early versions will end up with about 2" of lift, later versions will end up with about 1" of lift, resulting in early and late version having the same ride height after the lift is installed. For tires it seems the best sizes are 225/75R16 or 235/70R16 (29").
FWD version aren't really able to be lifted, due to front CV axle clearance with the control arm. For some reason they didn't design them to use the same axles as the 4x4.
On my wife's Patriot with CRDStu coils we are running 225/75R16 Cooper Discoverer AT3 4S tires mounted on Mamba MR-X1 wheels (clones of the Wrangler TJ Moab wheels). This setup works quite well. The Jeep still gets pretty good fuel mileage (for a lifted rolling brick) and handles the trails quite well. My wife tries to put in as many trail miles as she can as she drives around the country for work, over 55 miles worth of trails around Laughlin, NV this past Friday alone.
Here's her Jeep somewhere in the Valley of the Gods. Full size matching spare on the roof. Back seat/cargo area set up for her to sleep in it.