But I also don't think most back yards can fit an antenna that big... search "NASA deep space network" on google images to get a scale of the antennas that are used to talk to voyager
https://voyager.jpl.nasa.gov/news/details.php?article_id=118
OTOH, dB's are effectively a log scale, and NASA's "not good enough now" transmitter & antenna cost quite a few $million. What's your budget?
(Yeah - if the Arecibo radio telescope was still on operation, it might well have been capable of doing this.)
A favorite anecdote of Voyager.
Paraphrasing, "You carry around more computing power in your pocket than what is on Voyager. I'm not talking about your phone, I'm talking about your key fob".
The data Golay encoded, but not encrypted. That's exhausting enough for the 1/2 dozen NAND gates up there that make up its computer.
In optimal orientation, Voyager's signal peaks at -160dBm when received on the 70m dishes. Now it's shooting 2 degrees off which means the signal misses earth by hundreds of millions of kilometres. What kind of magical high gain antenna do you envision that could still receive it, assuming money isn't a problem?
https://en.wikipedia.org/wiki/Voyager_2#Communications
https://en.wikipedia.org/wiki/Parabolic_antenna#Beamwidth
How about this antenna? https://en.wikipedia.org/wiki/Very_Large_Array
Or this one? https://en.wikipedia.org/wiki/Five-hundred-meter_Aperture_Sp...
[1] https://en.wikipedia.org/wiki/International_Cometary_Explore...
https://skyriddles.wordpress.com/2023/07/03/stereo-a-comes-h...