First a few points:
The i3-3220 does not have built-in HD400, rather it has HD2500 instead: http://ark.intel.com/products/65693/Int ... _30-GHz%29
I know you said the box is not for gaming, but that GPU won't even give you that option!
Also, I'm not sure why you're striving for tiny components, using mSata instead of a standard 2.5in Sata drive, and thin miniITX instead of regular miniITX. Currently there's a premium to be paid for these smaller components, and if you go for fanless, you'll need a slightly bigger box with a large passive heatsink anyway, so paying extra for smaller components that you don't really need seems pointless.
I think the main reason you're struggling is that you want something cheaper than the NUC or the ID42, but that pretty much rules out all the decent passive cases like A-Tech (http://atechfabrication.com/HTPC_cases.htm
) or Streacom (http://www.streacom.com/products/fc8-fanless-chassis/
) when you consider the other components as well.
I did see this new case from Akasa (google "Akasa Euler") recently:http://www.akasa.com.tw/update.php?tpl= ... K-ITX05-BK
It is a bit small and limited, but it's cheaper (approx $99 apparently) than most passive cases and might be good enough for your needs. However, it is only recommended for 35W CPUs, and the i3-3220 is rated at 55W. (Although there is a different variant, the i3-3220T which has a 35W TDP)
Generally with fanless systems it's all about the case, pick the case first and build the rest of the system around that.