I'd personally change the fans though, as the corsair stock fans are noisy. I'd probably put 4 fans on it too, but again if the case is big enough.
Its crazy but I had to put slim fans on my h100 and mount the top fans outside to get it in push/pull even though my case is pretty large! If the C240 is similar to the H100 you'll need around 75mm of space inside the case to mount everything inside. Its definitely worth it though, cooler CPU and in my opinion it also looks cooler.
You replace the intel cpu cooler with the H100? you need to take new pictures
I can't fit push pull on my H100, i just have the fans inside the case pushing air out the top (See pic below)
Works well enough. The gentle typhoon fans i have on it are at 100% all the time, and i can hardly hear them