If the problem is the image size, or white space on the actual image, then use Calibre's "Tweak Book" option (right click on the book) to find the image and any image editor to change it (on Windows I use IrfanView).
It may be easier to use davidfor's suggestion of finding a good cover and adding it to Calibre as the cover (edit metadata -> change cover -> Browse) and then using the Modify Epub plugin to add it to your ebook (you need to add the plugin, and it will typically then be found via right click, like the "Tweak Book" option). As davidfor said, an epub to epub conversion will also do this.
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