I would build an acoustic door to mitigate the sound transmission out of the room. There are many companies that build acoustic doors. I just did a quick search and found this company.
http://www.industrialacoustics.com/usa/doors_windows_partitions/index.asp
http://www.industrialacoustics.com/usa/gallery/doors_gallery.asp
Good luck,
Audioquest4life
http://www.industrialacoustics.com/usa/doors_windows_partitions/index.asp
http://www.industrialacoustics.com/usa/gallery/doors_gallery.asp
Good luck,
Audioquest4life