I use one of those coax/Ethernet converters in my house. It’s a 2-story place and running Ethernet was going to be too daunting for a room.
Overall it works very well (I had bad experiences with using network over electrical power). The only thing that will be a downer is the gigabit coax converters seem to be expensive. Since I just had 1 client in an isolated network, 100mbps was fine for me but would hamper your NAS throughout. You’d also need to buy 2 sets of converters for your use case, so that’s potentially not cheap if you’re wanting gigabit from end to end.
Some of the newer wireless standards are very quick, but you’d also need to ensure all NICs are compatible and a newer AP wouldn’t be free.
Perhaps talk to the landlord about splitting the cost of getting Ethernet professionally run in all rooms. It may be the most cost effective solution, but the drawback is you walk away with nothing. The landlord would be able to advertise Ethernet ready infra, so there is some benefit for them to do it.
Managed switches are the way to go. I have various segments and none talk to each other.