You're better off embracing better local Orlando food, (even if it's a chain that you know you like) than trying to get an interpretation of something you already know is great in your hometown, that you can get anytime.
As a Chicagoan, Giordano's Stuffed is definitely an experience to try, but, their thin, or extra thin crust is what we order 99.99% of the time. I'd guess that most Chicagoans view Stuffed as "tourist food," and cracker thin crust as "true" Chicago-Style pizza. Don't shoot the messenger, I'm just trying to help avoid disappointment.
Anyway - lol - most East Coasters I know consider Chicago "Stuffed" pizza an abomination, but it's worth a try. I spent a decent amt of time living on the east coast, and I understand the pizza scenes in both areas. I truly love them both. At Giordano's, I'd suggest getting both Stuffed, and also an extra thin. Sausage, spinach and hot giardiniera are my go-tos.