Ha, I will give this a try. My current setup: I have a Browni portable TV [0] from the 1960ies in my home office (20 EUR on Ebay 13 years ago, still working perfectly), hooked on a composite to coaxial adapter, hooked on a HDMI to composite adapter, hooked on an old Chromecast. Even the audio works perfectly. But using the build-in antenna of the Browni would be even better.
[0] https://www.radiomuseum.org/r/cbc_browni_transistor_tv_space...