Removing the distance from the results can be done by editing the Results Layout. You will see the results layout box if you have the Experience add-on for WPSLP or have the professional level plan or higher for MYSLP.
For MySLP go to Store Locator Plus > Settings > Results > Appearance
For WPSLP go to Store Locator Plus > Settings > Results > Appearance
With the Results Layout setting find the HTML span tag with the slp_location distance shortcode.
Delete that line.