I think the question is where do you spend time/want to listen to music the most?
For your TV watching habits, it doesn't sound like an home theater is a driving force in your decision making.
Do you like/plan to entertain?
Since you have indicated you are on a budget, I might suggest about $710 for a AVR, stereo speakers with sub as follows:
AVR - Denon x1000 $220 (free shipping) (this is a refurb, but I have bought over 15 components from this company without issue, and when I did a brain fart and thought one was screwed up, they replaced it without any greif)
http://www.accessories4less.com/make-a-store/item/denavrx1000/denon-avr-x1000-5.1-channel-networking-receiver-w/airplay/1.html
Speakers - Energy RC-10 $230/pr (free shipping)
http://www.frys.com/product/7777388?source=google&gclid=Cj0KEQiA-uWjBRChu9ie05m5ipgBEiQAuHIuK6qkltooNfq139a64OZCaVfryCTqjAXwDqpKhcoJySEaAjJU8P8HAQ
Subwoofer - NGX BAS 500 $260 (free shipping)
http://www.radioshack.com/nxg-nx-bas-500-12-500-watt-powered-subwoofer/55058551.html#.VHoNb8mIbmg
I suggest AVR-x1000 because you do have a TV available to hook it to and it offers great room equalization through Audyssey MultiEQ XT and will handle the crossover for your sub(s) extremely well.
The RC-10's are on special right now. I think the sale ends 12/4/14, but there is a risk of them being sold out. I hate to add a dimension of "time pressure" but personally, I believe this is a deal not to let pass by, but wait for others' comments. They won't hesitate to tell me I am full of crap if they disagree
.
If that is stretching your budget, Use this sub instead:
Dayton SUB-1200 $110 (free shipping)
http://www.parts-express.com/dayton-audio-sub-1200-12-120-watt-powered-subwoofer--300-629?AID=1457483&PID=6155355&SID=ceveprmuml15
I just put two of these in my girlfriends living room as a present, and I am amazed at how well they handle music!
And if that stretches your budget, you can always add the sub later. The bookshelves will start to drop off around 50 Hz which means you will not have the bottom octave. For that matter, depending on how much you want basss, you may be happy without the sub.
BSA,
You posted while I was typing. What do you think about the RC-10's vs your suggestions?