Well the only drawbacks I can think of would be that A: you don't get added case cooling to your case like if you had the radiator inside, and B: it may make your room a bit warmer and due to physics get the case a bit hotter, but not enough to make a difference (maybe only +1-3C). Otherwise I don't see any problem with it though as long as the tubes will reach and they don't kink. It would be a lot of work though to move the radiator back inside the case every year though during the winter, just to let you know.
I don't know about your pump...you would have to tell me what it is first.. :huh:
EDIT: Didn't see the pic before. Yes, around 50% sure it will work. Not entirely though as I don't have experience with that one specifically.