So I found the one recipe I could locate for something that wasn't beef stew: Potted Beef. Apparently a very British recipe, seemingly designed just for the AGA (as is any recipe that tells you to just leave something in the oven overnight).
Basically? Toss the beef chunks in a casserole with a tight-fitting lid. Add some ground pepper, nutmeg, and fish sauce (about a tablespoon of the latter). Liberally cover it with slabs of cold butter--about 1/4 cup in all. Stick it in the Simmering Oven (around 250-275 degrees F) until you remember about it again, or at least five hours. I left it in overnight.
You're supposed to process the fragrant cooked beef after that. I resisted snacking on it for breakfast, and used my daughter's hand-blender to whiz it into a kind of goop, which really didn't look anywhere near as appealing as it smelled. That went into three ramekins, got sealed with a coating of melted duck fat, and popped into the fridge for a few days.
The result? Coarser than pate, much tastier than spam. My crackers haven't been this happy in a while.