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Install RepoForge Repository: http://repoforge.org/ 
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Install the EPEL repository: https://fedoraproject.org/wiki/EPEL 
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Run these commands: sudo yum install python-devel SDL_image-devel SDL_mixer-devel SDL_ttf-devel SDL-devel smpeg-devel numpy subversion portmidi-devel hg gcc hg clone https://bitbucket.org/pygame/pygame cd pygame python setup.py build sudo python setup.py install
This should install PyGame without issue on RHEL 7.2.