I've chosen to output the view as both a block and a page. We're going to leave the page just the way it is, but we're modifying the block. Since I chose to modify the teaser view, we'll get 3 columns any time we choose the teaser format for the News view. But we've done all the hard work, now we just do some typical theme work. So this is my block-views-News.tpl.php.
<div id="block-<?php print $block->module .'-'. $block->delta; ?>" class="clear-block block block-<?php print $block->module ?>">
<?php if ($block->subject): ?>
<h2><?php print $block->subject ?></h2>
<?php endif;?>
<div class="content"> <!-- The following spans are used to put my rounded corners in the containing div. -->
<span class="tl"></span>
<span class="tr"></span>
<span class="bl"></span>
<span class="br"></span>
<?php print $block->content ?>
<div style="clear:both;"></div>
</div>
</div>