I did suggest back in the 'Let's Kill Lando' days that when the Falcon bumps into the walls of the interior it suffers much more damage.

It doesn't just lose the communications dish but scrapes the top layer of the hull off causing an interior fire.

So not only do you have the tension of threading the Falcon through the maze of pipes and outracing the resulting explosion you also have the added tension of a fire onboard which could destroy the ship at any time.

You could have the cockpit door fixed shut and show flames lapping against the glass window.

A good model maker could even construct models of the interior of the ship and have them on fire perhaps blending them with isolated reconstructions of the set by removing the cast from scenes in the previous movies.

Even if Lando and Nien Numb do get out of there it would add a bit more peril to the situation.

The Falcon is so well recognized she has become practically a character in her own right so it might mirror Artoo's damage in the first film in terms of audience response.