The best way to avoid CSS/JS conflict between plugins is to enqueue in the right place.
I mean, enqueue the style/script right when the script is needed and not in the registration of the styles/scripts.
function lsmi_load_admin_script() {
wp_register_style( 'chosencss', plugins_url( 'assets/resources/chosen.min.css', __FILE__ ), true, '', 'all' );
}
add_action( 'wp_enqueue_scripts' , 'lsmi_load_admin_script' );
/* When you really need the style/script - use it */
function use_my_style () {
wp_enqueue_style('chosencss');
}
This way, if you don't need a style in a certain page, you can do an if/else, according to the page/post that is going to display the style/script