I have some questions regarding travelling, may Allah reward you with goodness:
Can any place outside of your town be considered travelling? Is it more than one night’s distance that is needed? Is there any specific distance mentioned?
No. The hadith restricts mahram to travelling only, and travelling is what the custom in your country consider this distance as travelling.
Some Scholars said distance of 80 km, but this is not proven. So the Scholars say that if you go to this city or place is considered in the custom of home city as travelling, then it is travelling. Some places you say: I will go to so and so. Other places you say: I will travel to so and so. Usually travelling to a place means the distance is far, and the road is empty from buildings and shops.