For CSS purposes you could add an id to the previous element and then use a selector to alter the following element.
Markdown like this:
<div class="special_table"></div>
| First Header | Second Header |
| ------------- | ------------- |
| Content Cell | Content Cell |
| Content Cell | Content Cell |
CSS like this:
div.special_table + table tr:nth-child(even) {background: #922}