If you hide the start marker, be sure to also enable this option “When a user clicks on “Directions”, open a new window, and show the route on google.com/maps ?” You can find it in the “User Experience” section on the store locator settings page.
There is a solution that requires you the edit the JS file, but there is also one that involves a CSS rule that simply hides the start marker.
I can’t find it back that quickly on the forum, but the code you need to add to your styles.css looked very similar to this. Only replace the ‘hideme’ with the name of the start marker, which will be something like ‘blue@2x’ or so.