You can add thumbnail navigation to the slideshow, but it's complicated and might not work for what you want to do if those buttons need to be different than the slide image they need to go to.
But you can more easily do this just using CSS. First, make sure you use a custom stylesheet in your theme so that you don't lose any changes when you update the plugin.
Now, what you need to do is create a background image for your slideshow that has those four buttons built into it. Like mock the thing up in Photoshop how you want it to look and use that as the background image of the .meteor-slides slideshow container. After that you can add some padding to the slideshow container and some margins to the slides so that the slideshow is positioned within the background how you want it.
Then you can take the four paged buttons and style them differently.(make sure paged nav is on and the slide quantity is set to 4). You can see in the CSS that they have a number in them which is hidden and a background image added. Leave the text indented and just get rid of the background. You will need to change the size to match your buttons, make the .meteor-buttons container large enough to cover all four buttons, and then move the four buttons around to overlap the buttons in the background.
The tricky part will be styling the pager buttons to fit over the graphics as you cannot style each one individually, they have to all have the same CSS rules. Firebug will be a big help in positioning them.
Finally, if you want the buttons to work on hover instead of click, there's an option for that, you can use metadata to change it.