Yes, it's a frustrating job.
Personally, I completely remove the band clamps, loosen the airbox like you said, remove the nuts from the intake runners. Then I push the airbox rubbers partially into the airbox; you have to fold and push and deform them but you can get them basically out of the way. Then you'll have enough room to pull the carb assembly rearward enough to clear the head studs. You'll tilt the carbs down at the rear and they will start to twist out of the intake rubbers. At that point, they are essentially free. Check the manual. I believe it says which side to slide the assembly out of the frame. It's easier one way than the other.
You can do it! Don't forget this is supposed to be a fun hobby. If you're getting frustrated, take a break.
PS. There are those (myself included) who have replaced the studs with bolts which makes this process much easier BUT you take on the added risk of messing up the threads in the head/jug. CAVEAT EMPTOR.