How to pass html with quotes to the param in shortcode

I’m trying to create a snippet that will embed a youtube video and then a link. I need to pass the video and link as variables in the shortcode. The video works fine, but I don’t know how to pass the link. Here’s the snippet:

<div class="videowrapper">
<div class="videocontainer" itemprop="video">
<iframe width="775" height="436" src="https://www.youtube.com/embed/<?php echo $video; ?>" frameborder="0" allowfullscreen></iframe>
</div>
<?php echo $caption; ?>
</div>

Here’s the shortcode:

[php snippet=1 param="video=Du5KKQKEw84&caption=<a href="https://www.link.com">Link</a>"]

Obviously, the quotes in the link are going to be an issue. I tried escaping them, but that didn’t help. Any ideas?