You want the highest flow, and to get there, you'll have to have enough pressure to cram that much coolant through all the obstructions. Pumping in parallel won't do that as nearly as well as pumps in series.
I'd rather advise you to chop up an existing core, without any soldering. It's easy to do, will give you more performance, and you can maximize the available space you have for a core. Ref mine (in sig). I really don't want to say anything else about BIX.
It's possible to balance performance and noise, it just comes down to what level of noise you can live with. In your case, since the unit will be enclosed, you have that much more to play with.
2 gpm is hard to do. Got a link to the pump?
If I was you, I'd consider having an air inlet as well as an outlet, going through that desk.
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