I don't think the Minnowboard Max is a good choice for a hardware hack/OSX86 machine, as it's designed for embedded use not general desktop use - where it states it can run Windows, it is probably the embedded version and you might be lucky to get a usable desktop.  Consider OSX86 to be even more difficult to work with.  Just because a CPU is supported you also have to contend with GPU support etc, and I don't think you'll have much luck here.

Perhaps look into a junked Core2Duo laptop which has a 12.1" LCD you can hack in, or something like an Intel NUC/3.5" SBC instead

JB