How to use $.hoverIntent and setTimeout together?

I am using hoverIntent plugin for my horizontal drop down navigation menu as I want few millisecond delay before opening the submenu associated with current main menu. Also I have a requirement that opened menu should not get closed immediately as and when user moves mouse pointer away from currently opened menu.

Fiddle link: https://jsfiddle.net/vijayP/tbg2x5h7/6/

So I have come up with following code:

    $(document).ready(function(){

    var config = {
            over: function () {
                $(this).addClass("show");
            }, 
            timeout: 300, 
            out: function () {
                var _this = $(this);
                setTimeout(function () {
                    $(_this).removeClass("show");
                }, 300);

            }
        };
    $("ul.drop_menu li").hoverIntent(config);
});

Here menu is getting opened (adding show class) after 300 millsec. And on hover out; 300 millisec delay have been added to avoid sudden close of menu. This code works fine with no issue. The problem I am observing is:

Problem: If user moves away from menu then I want 300 millisec delay before closing the submenu. But if user moves cursor from 1st main menu to 2nd main menu; then I want to close 1st submenu immediately and don't want to show 2 submenu overlapped to each other. In fiddle you can see this overlapping effect when you are on 1st main menu and goes to 2nd main menu.

When you hover over an li element, you can just remove the show class from siblings. See the updated jsfiddle https://jsfiddle.net/tbg2x5h7/7/

$(document).ready(function(){

    var config = {
            over: function () {
                $(this).siblings().removeClass("show");
                $(this).addClass("show");
            }, 
            timeout: 300, 
            out: function () {
                var _this = $(this);
                setTimeout(function () {
                    $(_this).removeClass("show");
                }, 300);

            }
        };
    $("ul.drop_menu li").hoverIntent(config);
});