What you're saying makes sense, since at the winery we add bags of rice hulls to the press as a pressing agent to help with extracting more juice. I have access to LOTS of rice hulls. This video : [ame]https://www.youtube.com/watch?v=UuIKHC57ROQ[/ame] shows how to build a mash tun out of a common 48 quart chest cooler. With the SS screen that would be most helplful, as well as using some rice hulls mixed in with the malted wheat.
There are different kinds of wheat. Bread making requires good amount of wheat protein called Gluten. It is the "gummy" part you talk about, and allows the stretch in the dough during rising and formation of small holes. VERY essential in whole wheat bread making and especially so in bread machines. I add 1 heaping Tbs of wheat gluten in my recipes using whole wheat in my bread machine, and use only wheat with high protein content.
Hard Red Winter Wheat has a high gluten content as does a few other had wheat such as hard white spring wheat. If you are using flour for pasty cooking there is low gluten wheat available in the form of soft white wheat, usually spring wheat, and others.
In making beer, to keep the protein level down I would think that soft spring wheat or any of the low gluten wheats used in pastry would be the best choice to malt. If beer is similar to wine in respect to protein haze, an addition of 1-6 lbs / thousand gallons of bentonite during fermentation or first racking will floculate out the excess protein. It binds with the proteins and makes it so we don't end up with a protein haze in our wine. Again, it should work with beer as well.