However, it didn't get me 100% of the way. I got through the installation, however I was utilizing drush to manage the acquisition of all of my modules. Going down this route, it was very confusing when I could download my module, enable my module, yet some features were available through the UI, but they wouldn't show up on my module page and they wouldn't show up on the configuration page, and any time you tried to access pages related to the module the page would error out. In my server logs was a key clue:
PHP Fatal error: require_once(): Failed opening required '/var/www/html/sites/all/modules/features/features.admin.inc' (include_path='.:/usr/share/pear:/usr/share/php') in /var/www/html/includes/menu.inc on line 501
At this point, my frustration perhaps blinding me from the answer in front of my face. Looking through the installation steps, there were two steps that needed to be rerun anytime I was using drush to dl a new module:
chown -R apache.apache sites/all/modules/
chcon -R -t httpd_sys_content_rw_t sites/all/modules/
Once I reran these commands after each download I was good to go.