Some boxes in Ultra Compact format include an IR receiver so that you can use a remote - and if so you can probably train it to use your existing remote.
There are a lot of challenges with this whole activity but perhaps start with just FTA TV only - using a DVB USB dongle or other DVB receiver.
I imagine that streaming services and FTA TV catchup services would be quite uncooperative about giving you the necessary proprietary information.
To add a little angst and paranoia, here is how Android TV boxes and Smart TVs can be used for malevolent purposes:
…want to have a zombie TV in your living room?
As long as it doesn’t get up an walk around saying “… brains, brains, …” “Send more cops.”
I will be happy with even a Purism cap.
That is a tautology. Anything from Google today starts out with a malevolent purpose. That is its purpose. To be malevolent. A botnet is just the icing on the cake. 
I use a wireless 2.4 GHz USB remote as I find it more reliable than Bluetooth or IR. The remote itself has the option to program IR functions into it as well though. I think building in a dedicated receiver with the Steam Machine for example was a good move for a device meant to be connected to a TV to avoid the dongle
**The best solution to this issue is to buy, for example, a 4K monitor 43 inches or larger and a single-board computer on which KODI is installed.**
You don’t need any scripts with a static address, you just need a good, high-quality monitor!
That depends on whether you want to watch FTA TV. If you have no interest in it then that config will do. If you still may want to watch FTA TV then you will need a TV tuner device to go with your SBC - and that can then be a point of friction i.e. as to whether the TV tuner device works well with Linux / requires blackbox drivers / requires blackbox firmware.