I really wish that was possible, but we would need to find 13 of the things, all must be unused and come with/be eligible for the extended AppleCare.
Apple refurb'd items are too all intent purposes a full retail model with discount.
They can be cancelled custom orders, 14 day returns, repaired faulty, etc.
There is no difference in package content and warranty, and you can extend that at the end of the first year with Applecare, so you can defer those costs until the next tax year.
You've read my mind and that is the direction we are going. I'm looking to source a reliable Thunderbolt solution for shared RAID system, but there are not many choices on the market and I have heard some not too positive thinks about the reliability and support of the Promise system (the reviews on it on the Apple website).
My choice would be Sonnet - they've been catering to the Mac market since way back with the G3 Power Macs.
I suppose I'm wanting my cake and eating it, as I need to make sure we have enough RAM for running the aforementioned type of software in a learning environment, but I also don't want to have 13 machines which feel sluggish one of of the applications, utilities and settings have been applied. Choices, choices!
OS X in general has very good memory management, but for the cost of RAM, you're better having more than barely enough.
That was why I steered you towards the higher resolution 27" which will be highly beneficial for video edit and graphic design/photo editing.
Plus they give the option to add RAM if/when it becomes necessary/affordable, and the benchmark score indicates it's a faster machine with the i7 CPU (well known for its ability to plough through video processing).
Would there be 13 of them?
A simple phone call to Apple support or trying to put 13 of them into the online basket will see if that's the case or not.
Maybe you opt for as many as they can supply, and dedicate those to video work, and go for the i5 ones on the refurb section (still 27") for graphics/photo.
Edit: there's 2 of the ones I linked above, and 7 of the next cheaper one (i5), which leaves a shortfall of 2, as well as buying RAM to have 8-12GB across the board.