Well, figured I'd answer my own question. I went ahead and bought one of the 6-deck card shufflers, and it works pretty great. WAAAAAY nicer than having to manually shuffle so many cards together. Only complaint is that it takes C-cells. Literally the only device I own that takes C's.
Also bought a couple of card shoes, and they work pretty darned good, too. Only issue with those is the need to put some non-slip feet or something on them to mitigate them sliding on the table.