Not sure what you want happening with a H50, perhaps the hot air already inside your case being pushed out of the case?
That is, attach one fan that is sucking air from the inside of the case and pushing air out the back of your case to the radiator on the case side; and attach another fan to the outside of the case that is sucking the air off the radiator and pushing it backwards.
In the case, the arrows would be going in the opposite direction you've drawn them - to the left. The whole idea of push/pull is to move as much air as possible in a uniform direction.
That is, attach one fan that is sucking air from the inside of the case and pushing air out the back of your case to the radiator on the case side; and attach another fan to the outside of the case that is sucking the air off the radiator and pushing it backwards.
In the case, the arrows would be going in the opposite direction you've drawn them - to the left. The whole idea of push/pull is to move as much air as possible in a uniform direction.