No, you can't pick from sections you're not eligible for regardless of the car class. Much of the time they're filled with FCARs anyway, but the idea is that they're higher-quality ones (lower mileage, higher trim, etc).

Checked my receipts from last time I got a Charger and the GT is an F while R/T is an F6.

I would guess that outside the status sections your options are either to chance upon them in the Gold/Full Size sections or ask at the Gold desk if they have any they can give you.