I use tmux, but as far as unreliable connections, I've found mosh[0] to be the best solution to the problem (when you have the ability to install it). It basically runs a background process on connection not tied to the session that your client will automatically reconnect to if the connection fails. I regularly close my laptop, travel between home and work, open it back up and the connection is available almost instantly.

[0] https://mosh.org/