I'm using a remote server over a very slow and unreliable network connection.

So, I want to use gnu screen in order not to lose what I'm doing whenever I get disconnected.

But I want a local scrollback buffer, on my local computer, so that scrollback doesn't have to go across the network, which is incredibly slow.

Is there either something like gnu screen, but with a local scrollback buffer; or else a way of using gnu screen with a local scrollback buffer?