I don't understand why it has to be so thin. When i make a brisket samich i use a couple of slices about 5/16 in. thick on a crusty sandwich roll. slather BBQ sauce(home made) on it and it's to die for. Most commercial slicers will slice that thick.
"The free man owns himself. He can damage himself with either eating or drinking; he can ruin himself with gambling. If he does he is certainly a damn fool, and he might possibly be a damned soul; but if he may not, he is not a free man any more than a dog." G. K. Chesterton
New Braunfels Bandera smoker