Tmux: Map one default mapping to do nothing?

It depends on your tmux version, but tmux list-keys should show you something like

bind-key -T prefix C-n  next-window
bind-key -T prefix n    next-window

where -T prefix shows it is using the "prefix" table (the one got to by C-b). So you can try adding to your ~/.tmux.conf:

unbind-key -T prefix C-n
unbind-key -T prefix n