Be sure to let us know how the planks look if you end up cutting them. As I get a little more involved in building (and hopefully a bit better at it), I find that I'm more and more interested in the trees/logs on my property. I now go hunting and spend half my time starting at my homemade flintlock in my hands to diagnose all of the mistakes that I've made, and half my time staring around me and wondering what the log from this tree or that tree looks like.
I'm soon taking three logs down including a nice 18" hard maple, a 16" chestnut oak (it seems to have died on its own and I can't see it going to waste) and a 20" American chestnut tree. Yeah, it's really a native American chestnut, not a Chinese chestnut and I'm not crazy. It's likely that only the maple will ever be made into stocks (I'm not even sure about that), but I also have hickory, ash, beech, red and white oak, some cherry and lots and lots of soft and hard maple on my property. My goal this spring is to walk much or most of the property with a hand axe and knock a spot of wood off of each maple in search of a nice tree with some curl. I actually found one a few years ago but it had already been dead for years and is now some spalted/curly maple that could be useful for bowl turning or other projects.
Like I said, let us know if you cut the beech and post some photos.