I think the reason you aren't getting many answers is because the term "pre-modern" is so loose. Was that before street lighting? Was that before police forces? Or is there some other factor that you are referring to when you say "pre-modern." Lighting and security were thinsg for which you had to pay. They weren't like public lighting or police forces of today that we pay for out of taxes.

I'm going to try to tackle the lighting issue. Historically, before street lighting most European cities had what was referred to as "Link Boys." These were young boys, and sometimes girls, who made a living by carrying torches so that sedan chairs could find their ways around cities at night. This form of employment seems to go well back into the 1500s and perhaps even earlier into the Medieval period (links are mentioned in William Shakespear's Henry IV).

Have you ever been out in the woods at night without a fire or flashlight? What you can see varies greatly on how much moonlight you get. I've been out in places were you literally could not see your hand in the front of your face. Traveling at night, even without the risk of assault from robbers, was risky.

It's interesting when you read Shakespeare and other writers that groups of armed young men seem to be going out at night to drink and carouse. Women do not seem to being going out, except when nurses or midwives are called out to assist the sick. But you do read of fabulous fetes and parties being given at night. So, if you had the money to pay for light at night, and you had your own weapon, you probably did travel. If you were poor or middling, you probably did not. As for the amount of crime, it would vary greatly from neighborhood to neighborhood in a city and from period to period.