It might not have been chosen. Not really. In the old series, the TARDIS used a randomizer which meant that they never really knew where they were going. This was to avoid a specific enemy.
From what I could tell they had gone to multiple times and places to get away from the Family--it might have been like regular running--you are running away, but you don't exactly PLAN where you end up.
As far as I know there's not a canon reason for it being chosen. (But you can't prove a negative). Still, based on what I know of the Doctor's pattern when it comes to running away, most of the time he doesn't actually plan these things carefully.
You're arguing that the Doctor's aversion to violence would make him easy to spot. But if you look at the actual episode, his persona has no such aversion. While he might have stray Doctor dreams and images, he doesn't do anything out of character on that front.
Further, he isn't as adverse to violence as you might think. He's just more clever about it. He WAS the War Doctor, his name is not synonymous with peace. Put him in a war and he's actually very, very good at causing causalities. That's not an aversion to violence, that's being good at it. And that's why he tends to be careful in the series about violence, because if he does go to war, he's excellent at it. And yes, he hates that about himself, he hates that he likes it and is good at it. Just like he hates the fact that he's officer material. Danny Pink calls him on it.