Matt,I can't tell for logic boards, but there was an article in last month's VOICE newsletter about running eCS on a "barebone" PC (a VIA system as far as I recall).
While I remember "barebone" meaning a base PC with case, MoBo, RAM and CPU in order to build up an individual PC, it seems that this term nowadays refers to a all-built-in tiny PC system.
I can't tell for Warp3 compatibility in that matter too, but maybe you'll find some more information?
Thanks to the ongoing efforts od Daniela Engert and others, I think that most of the contemporary notebook PCs are able to run OS/2. I had three notebooks over tha last few years and none of them was an IBM but all were able to run OS/2.
There are some drawbacks of course in matters of PCMCIA or built-in sound chips, but at least with Scitech Snap there shoudn't be showstoppers in matters of graphics chipsets.
I can't however tell for state-of-the-art brand new top models, but if you're able to grab a good used one which is 1 or 2 yeaes old, chances are quite good that it'll work flawlessly. 
You might also refer to previous VOICE articles and success stories about other notebooks. I knew that the Notebook/2 site had a wealth of models listed, but it seemed a little outdated and I can't tell what the site is like *now* since it changed to os2warp.be and they are still busy rebuilding/updating it...
Cheers
Thomas