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One step at a time there, cowboy!
At first a neutrino oven would be prohibitively expensive for a regular household, we'd be seeing the first commercial model installed by some restaurant in Las Vegas, that's quite a gimmick: Neutrino-Zapped Food!
Then in the lounge by the casino, stand-up comics would be making jokes about steaks coming in three flavors: electron, muon and tau.
Then for some reason, I'm seeing all this in black-n-white.
I suspect that would be too close. You need a light year of lead to stop 50% of neutrinos. That makes distance the only real shielding. I'd guess 10AU should be enough to push the dose down to reasonable levels. About the distance from the sun to Saturn. If we put the oven in Saturn orbit, that could work. We would need to evacuate that side of the solar system, but that's not too hard.
The real challenge is getting your steak to the table in a timely manner. A relativistic missile could work. Unfortunately the exhaust of earth approach would be a hassle to deal with. The G forces also won't likely do your dinner any good.