As mentioned in the comments, you can use the to_html() method to obtain an HTML of the styled table (in old versions it was render()):
html = styled_table.to_html()
You can then use a package that converts html to an image. For example, IMGKit: Python library of HTML to IMG wrapper. Bear in mind that this solution requires the installation of wkhtmltopdf, a command line tool to render HTML into PDF and various image formats. It is all described in the IMGKit page.
Once you have that, the rest is straightforward:
import imgkit
imgkit.from_string(html, 'styled_table.png')