@ESchrodinger So, are you currently in Schreyer at Penn State or will you be doing gateway admissions? Are you in-state for PA? GA?
Honestly, it sounds like you want to go to GT. You wouldn’t have searched and applied for a transfer unless you were unhappy and looking for something different. I’m not convinced Schreyer is that “thing” that will make Penn State what you are looking for.
The other thing I will throw out is that if you are a sophomore, you have just completed freshman entrance-to-major courses and probably only taken one or two CS classes. The junior experience with small classes is incredibly different than Math 140/141, Phys 250/251, etc. Having said that, it sounds like GT is where your heart is. Unless it causes significant differences in cost, I would say transfer.