I have an Edelbrock Performer RPM manifold and 800 cfm Edelbrock carb on my '67 Charger. In order to get mine to fit, I had to find a 2-5/8" air cleaner, and I used a 1-1/2" drop air cleaner base. If you do some math, you'll notice that doesn't leave much room between the top of the carb and the cover. It clears, and it works fine, but it is really, really tight.
Now, the GTX hood is a bit different. Since you're asking this, I am guessing you have a 440 4BBL. I am not sure how the air grabber setup, if you have it, will work with this. A round air cleaner, almost certainly, would interfere. Maybe someone else knows. But in terms of clearing a hood- what I laid out is what you have to do. I've seen the same on E bodies too.
Hope it helps...