Goodness. That's quite a bit of space to pressurize. That's a nice sound base though. I've got one just like it.

It does make dialogue clear, but it's never going to cause your room to rumble, and will never throw anything like a wide sound stage for critical listening.
The sound base doesn't have any outputs on it. How are you planning to get signal to a subwoofer? Use RCA cables from the TV into a pair of Y splitters, with one fork for each channel going to the sound base and the other going to a sub? If you do that, your sound base will have to stay at a set volume to stay level matched with the sub. Turning the volume up and down on your sound base will leave the sub stuck at whatever volume is on its dial, for better or for worse. Are you OK with that?
lovinthehd makes a fair point. Going with your media room idea would probably leave you with a more satisfactory sound while spending less on your subwoofer, since there's less space to pressurize. The trade-off is that you'll also need a receiver and three front speakers. On the other hand, going this route will get you better stereo separation with a wider sound stage and overall better sound.
This will mean leaving the sound base in your great room and starting from scratch in the bedroom / media room. One room will be adequate for social gatherings around a football game and for watching the news, while the other will be your more serious room for music and movies. That's the way my house is, and it works very well for my family.
Any idea what sort of budget you'd be working with?