It is practically necessary with mosh to run tmux/screen anyway because mosh removes scrollback. I find mosh adds little benefit for me most days and it makes a few things worse.
mosh is a great idea and sometimes useful when you are changing connections or opening and closing a laptop all day but most days I think I am better off without it.
Also I rarely have a remote connection open without forwarding some ports about so mosh often doesn't do what I need anyway.
Unfortunately every layer of terminal emulation tends to filter out some terminal capabilities. It is a small thing but I like to be able to yank a selection out of a remote vim and paste it locally and last I saw mosh's terminal emulation eats the necessary control codes.
That's what I do. My laptop moshes into a tmux. It's like I'm just always connected to my servers; the network is abstracted away. Mosh even has a very useful "7 seconds since connection dropped" message for when the café WiFi lags etc.