Story... YES you can convert the HDMI to Coax and bring it in as an ATSC type signal (HIGH-DEF Broadcast) just as we used to do with CDs and A/V
Sadly the converters are still a bit costly
Easier to run HDMI cable...With repeaters if you must
IF there is a Radio Shack, On the CLOSING (but not yet closed) list near you....Place to shop for cable (Last 3 I visited in reverse order.... Last,(Yesterday) still opened,bought 2 connectors (Audio)I needed less than 10 bucks. Middle: (Day before) Closed,,,Third (Mar/25) Spent 400 on about a kilo-buck worth of connectors, adapters, and general "Junque" (That is Junk with class)
Home is where I park it!