Here's a possible scenario:
First the "A long time ago, in a galaxy far, far away" + music and the hovering text...
Then, the camera decends down to the Peragus mining station, zooming into a window, revealing two doctors. At first, there's brief moment of silence, the camera zooms out to reveal a bigger corridor where the two doctors are walking towards a door. There's brief talk about the main character, his/her status and medical conditions and some other minor chit-chat about the Sith and the Republic without going into detail about things ended in KotOR I.
The door opens, and the team walks in, seing you lying in bed with all kinds apparatus to go 'ping!'. There's another moment of brief talk about you, how 'mysterious' you are and how incredibly fast your recovering rate is and so on. Just as they are about to start taking samples, you suddenly awake, and story starts from there...