Solved my own problem. I'll give an explanation in case anyone needs this someday. It tuirned out that, because I was using the chrome browser on my client machine and IE on the server, I was assuming it was a server vs client problem when in actuality it was because I used Chrome, which is not supported for SSRS. I was able to find an extension named IE tab that allowed me to use a separate tab within Chrome to render the reports. The link to it is here:

Just add the site(s) you want to automatically open in IE tab and you're set.