RE: show how far the entry is from her place of business
Sorry, no, there is not a feature like this in Connections. This would be rather niche, if you are interested, perhaps a custom addon could be developed for you which would add this feature.
RE: give customers driving directions to each entry
YOu may have, or not, noticed that the mapping features in Connections have been receiving a lot of work in the past few months which have enabled lots of little new features such as lazy loading maps, displaying a map pin for each address added to and entry and popups on the map pins which when clicked show the address.
The latter item, the pin popups, I do plan on adding a link to get directions. I just not have had the opportunity to do so at the moment. Would that placement suffice?