You could slice up your image into a top/left/right/bottom section, and place them around the youtube video (overlaying the edges of the youtube player)
I've mocked up a jsfiddle that uses background-color instead of the sliced up images.
HTML:
<div id="TV">
<div id="top"></div>
<div id="left"></div>
<div id="right"></div>
<div id="bottom"></div>
<div id="playButton">play<div>
</div>
CSS:
#TV{position:absolute;width:500px;height:300px;}
#top{position:absolute;top:0;width:500px;height:20px;background-color:red;}
#left{position:absolute;top:0;left:0;width:20px;height:300px;background-color:red;}
#right{position:absolute;top:0;right:0;width:20px;height:300px;background-color:red;}
#bottom{position:absolute;bottom:0;width:500px;height:20px;background-color:red;}
#playButton{height:100px;width:100px;border-radius:100px;background-color:yellow;left: 200px;position: absolute;top: 90px;}
#playButton:hover{background-color:red;}
I also have an example of this in action, where you would draw on the canvas in the middle of the "frame" images. Here
The only caveat is that you need to use fixed heights and widths, and absolute positions.