I use a BigContact page at http://www.drafie-design.nl/contact/ (but I tested the issue on other sites where I use the plugin with the same result)
I tried to align by CSS the lists of phones, e-mail and working hours, one next to other because I don't use the map.
But I can't do that. The markup of page in my source is as follow:
<form id="bigContact-form">...</form>
<h3>Contact Us / Phone Us</h3>
<li>...</li>
<li>...</li>
<h3>Contact Us / E-mail</h3>
<ul>
<li>...</li>
<li>...</li>
</ul>
and so on....
As you can see the <ul> tags for Phone Us missing.
And maybe you can wrap each of this sections in their own div's, so will be simplier to manipulate a div #phones:
<div id="phones">
<h3>Contact Us / Phone Us</h3>
<ul>
<li>...</li>
<li>...</li>
</ul>
</div>
Thank you very much