at first no need to provide search option for users in that module and we can keep the radius static or defined by admin at first. just like current module.
If you can just show the result in list view in a block instead of map that will work for me.
The current Locations Map module can not show results as a list view at all. It is not designed internally for that. So you will still need a custom module even if you can simplify its settings to just admin defined radius.
