We run WCLovers Mutlivendor Marketplace along with Toolset. When I activate Toolset Access, markers on my maps disappear as well as the ability to search for stores. Only logged in users can see markers and search stores here (hidden link).
I have currently disabled Toolset Access.
Is there any documentation that you are following?
In Access there are permissions that control your custom post types. It could be a case where you've set the permissions for this particular custom post type to deny access to visitors.
My advice is to go to Toolset -> Access Control and then under your post type in question, check to see if the permission is being managed by access and ensure that guest users have read access to the posts.
I see that you're using the following shortcode to display your search.
[wcfm_stores orderby="alphabetical_asc" include_membership="3458" has_category=”yes”]
Can you guide me to the page that would allow me to edit the map and post display ?