Hey Lance,I have not been sucessful in finding baltic birch plywood in my area, (NE Pennsylvania) but I feel that any cabinet grade, multicore (the more layers you can count when you look at the edges, the better) will suffice. Definately don't use lumber core plywood -- which is just what it sounds like -- pieces of solid lumber are lined up next to each other and then are covered by the two outer veneers.
I'm not directly familiar with the Mauhorn, although I've heard of it. Is it on the Lowther site? Actually, I'm surprised at the designs that are NOT on the Lowther site.
Most of the Lowther designs (not all) would not be too difficult to construct.
When you get ready to build, and if you feel you might need some advice, I'd be delighted to assist. If you have access to a table saw it would be great but maybe not mandatory.
Regards,
Mark