How to push a plugin with settings?

If the settings of the plugin are all stored in one table – e.g. wp_options then you can push just that table and it would not overwrite things in other tables, for examples posts and pages in the wp_posts table.

However, that would overwrite any changes which had been made in the meantime to wp_options on your live site (e.g. WordPress or other plugin options) and if the plugin is also storing data in other tables (e.g. by using custom post types which are stored in wp_posts) then it won’t be possible to do what you want with SitePush.