I don't think there is much that you can do "out of the box".
With some experimental programming you might be able to - but it would need some experimenting to find out.
For example, if you can reliably locate the intersection of I-405 and Fairview Road, then using some logic, geometry and iteration it might be possible to use the distance measuring features to find the required point.
How many call boxes do you have? If it is only a handful, it would be quicker to go out with a GPS and find their longitude,latitude coordinates
Richard