Obviously your stats are fine. Being from a less-represented state and region will help. Your best indicator will be how many are selected from your school every year and what their admission plan was, so you might wish to check in with your guidance counselor and/or check Naviance to find that out.
EA is probably more selective than ED1 and the admit rate for deferred Earlies in the regular round has been something like .5% in the past. So if you are deferred and UChicago is definitely your #1, ED2 might be your lifeboat. Looking into that possibility now and discussing it with your GC and parents as a viable Plan B means you would be prepared to put it in place if necessary.
Good luck and keep us posted!