Unfortunately it isn't possible to transfer saves in this game.
Here are some tips from a player on the Steam forums that might help you. It isn't so much about your running speed as your timing.
"Run as much as possible, and when the line shows up on screen that the shot is about to hit Holmes, dodge quickly to either side and the bullet will miss... this puts much more distance between you and the shooter. If you hide behind cover, the shooter starts closing distance quickly. Wait until your breathing is getting really heavy and the stamina bar is almost drained..THEN duck into cover and wait for his stamina to recharge. This way, you start off running with the shooter much further away from you. If you wait in cover all the time, he keeps closing the distance down to nothing. It works at first, for a few times, but then he's just too close near the end of the run to get away. Just try to run as much as possible."