WooCommerce Bulk Variations is designed to list large numbers of variations, and the layout will not break regardless of how many you have. If there are too many to fit on the screen, then customers can scroll or swipe horizontally to see the remaining variations.
You can set up your variation grids to make the best possible use of space. For example:
Select the attribute with the fewest variations for the columns, and the other attribute for the rows - this makes the grid tall and less wide.
If the layout of your product pages means that there isn't much space for the grid in the default location, then you can use the shortcode method to hide the usual add to cart buttons and insert the variations grid elsewhere on the page (e.g. in the main product description).
You can choose to show or hide the image column in order to save space.