The path the exhaust flows is like this

So the exhaust runs from the head through the EGR valve (not present in photo), then will run past and be sent into the intake ports.
Now I can't blow any air through the system into the intake ports - does anyone know a trick how to clean this out?
I've attacked it with degreaser but had no luck yet, and the shape of the port means I can't get wire or anything in there past an inch or two.
The car was running like this, but it's better to have this running if possible as it cools the combustion temps apparently.
Thanks fullas!