If you're going through all that trouble why don't you do a larger setup. I'm assuming stealth is important hence your reason behind a computer case, but at the same time you're trying to keep a constant production of bud; which I don't mean to be rude but you'd be producing next to no bud for your troubles.

I've never understood PC case grow setups. For all your effort you get about 1 oz of bud 3-4 months later from starting.

Also I don't see the point in taking multiple clones when you can really only grow 1 plant per case all the way through flowering.

With all that said, yes what you described would work. Though honestly I don't know how you would fit a hydro setup inside a PC case. They tend to take up at least a little room which would already be a very costly/valuable commodity for you to lose.