Wi-Fi may be an issue. Home plugs are second best. Hard wired is best. Anybody thinking about doing up their house should factor this into the works.
I don't know about using a Chromecast device, but worth a shot. If it does not work, get a cheap second receiver which you can use in client mode. You will only be limited to transponder if dish/tuner are occupied/maxed out.
I would go for follwoing setup:
Gigablue UHD UE 4K. It has an FBC tuner whihc has two connections. Add a twin Terrestrial tuner.
Two dishes. One motorised, one fixed with a unicable LNB
I wouldn't stream to PC and record to PC. Just use the main receiver to record. Transfer it for editing when required.