I'm looking to build a computational grid that will be hosted in a
colocation facility but am having trouble finding a cheap case with
the proper dimensions or a "motherboard tray" that could be used
instead. The machines are barebone in  the sense that all they need is
a motherboard w/onboard NIC, power supply, RAM, and adequate cooling.
No drives (e.g. CD/DVD, HDD, etc) whatsoever are needed, however I
need at least 400W of power.

The motherboards are standard ATX size (already know model along with
proc, ram, etc.) and will run decently hot as they will be running
overclocked processors. The chips run about 60deg cel. with 3rd party
heatsinks and fans so adequate air flow is a must; however, these
heatsinks are quite tall (testing both Thermalright SI-128 and Scythe
Ninja+) and might preclude using a motherboard tray.

The case needs to be 16" deep or less and not terribly expensive
(under $35-75 preferably). I'm currently testing this model but it is
too deep: http://www.newegg.com/Product/Product.asp?Item=N82E16811147030.
Other than that, the other dimensions are fine on that case. I have no
need for hard drives so a case where the drive bays could easily be
removed would be fine. Unfortunately, due to overclocking requirements
a mATX motherboard cannot be used so please don't suggest such cases
unless they could somehow fit a standard ATX sized motherboard.

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Clarification of Question by compgrid-ga on 15 Aug 2006 10:30 PDT

Forgot to mention that the motherboard tray would be rack mounted in a
standard 19" rack, while the cases would sit "front to front" on a
cabinet with shelves. The depth requirement is because the 2 cases
facing each other can be no longer than 32" deep (length of cabinet).

do you want rack mount cases?  If you do, I don't think you can pull
this project off properly with that budget.  Your probably going to
also need rail kits.