This can be accomplished via a (technically speaking, unsupported) feature of modifying the custom "themes" in your "My BigOven Recipes" / Themes folder.
There, you'll see several HTML templates that are named "recipetheme0.htm"..."recipetheme7.htm". recipetheme0 is the one used by default. Open that up in your favorite HTML editor, or notepad.exe, and you'll see the simple layout that BigOven uses to plop fields down on the page or screen. It's kind of a mail-merge like method -- simply delete the fields "@BO_CUISINE@" and "@BO_MAINING@" and you'll accomplish what you're after.
Please note -- this is an unsupported feature of the product (i.e., we don't teach HTML here on our forums, but there are many great sources for you to learn on the web if you don't already have some familiarity with it), and it does require some playing around to get right.